48865901760 has 672 divisors, whose sum is σ = 187456389120. Its totient is φ = 11607515136.

The previous prime is 48865901759. The next prime is 48865901761. The reversal of 48865901760 is 6710956884.

48865901760 is a `hidden beast` number, since 48 + 8 + 6 + 590 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48865901759) and next prime (48865901761).

It is a junction number, because it is equal to n+sod(n) for n = 48865901697 and 48865901706.

It is not an unprimeable number, because it can be changed into a prime (48865901761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204459721 + ... + 204459959.

It is an arithmetic number, because the mean of its divisors is an integer number (278952960).

Almost surely, 2^48865901760 is an apocalyptic number.

48865901760 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 48865901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93728194560).

48865901760 is an abundant number, since it is smaller than the sum of its proper divisors (138590487360).

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

48865901760 is a wasteful number, since it uses less digits than its factorization.

48865901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 48865 and 901760, that added together give a square (950625 = 975²).

The spelling of 48865901760 in words is "forty-eight billion, eight hundred sixty-five million, nine hundred one thousand, seven hundred sixty".