48509688165120 has 864 divisors, whose sum is σ = 206649217861632. Its totient is φ = 10231107452928.

The previous prime is 48509688165041. The next prime is 48509688165217. The reversal of 48509688165120 is 2156188690584.

48509688165120 is a `hidden beast` number, since 4 + 8 + 50 + 9 + 68 + 8 + 1 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×48509688165120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3357761737 + ... + 3357776183.

It is an arithmetic number, because the mean of its divisors is an integer number (239177335488).

Almost surely, 2^{48509688165120} is an apocalyptic number.

48509688165120 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 48509688165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103324608930816).

48509688165120 is an abundant number, since it is smaller than the sum of its proper divisors (158139529696512).

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

48509688165120 is a wasteful number, since it uses less digits than its factorization.

48509688165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17697 (or 17680 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 48509688165120 in words is "forty-eight trillion, five hundred nine billion, six hundred eighty-eight million, one hundred sixty-five thousand, one hundred twenty".