48687930869760 has 3072 divisors, whose sum is σ = 220741597440000. Its totient is φ = 10113169489920.

The previous prime is 48687930869749. The next prime is 48687930869771. The reversal of 48687930869760 is 6796803978684.

48687930869760 is a `hidden beast` number, since 48 + 68 + 79 + 308 + 6 + 97 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (48687930869749) and next prime (48687930869771).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×48687930869760² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48687930869760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 89996175090 + ... + 89996175630.

It is an arithmetic number, because the mean of its divisors is an integer number (71855988750).

Almost surely, 2^{48687930869760} is an apocalyptic number.

48687930869760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48687930869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110370798720000).

48687930869760 is an abundant number, since it is smaller than the sum of its proper divisors (172053666570240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48687930869760 is a wasteful number, since it uses less digits than its factorization.

48687930869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 48687930869760 in words is "forty-eight trillion, six hundred eighty-seven billion, nine hundred thirty million, eight hundred sixty-nine thousand, seven hundred sixty".