59728553902080 has 1088 divisors, whose sum is σ = 243345621688320. Its totient is φ = 13616214441984.

The previous prime is 59728553902079. The next prime is 59728553902117. The reversal of 59728553902080 is 8020935582795.

59728553902080 is a `hidden beast` number, since 5 + 9 + 72 + 8 + 5 + 539 + 0 + 20 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 59728553901999 and 59728553902017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28674292719 + ... + 28674294801.

Almost surely, 2^{59728553902080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59728553902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121672810844160).

59728553902080 is an abundant number, since it is smaller than the sum of its proper divisors (183617067786240).

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

59728553902080 is an equidigital number, since it uses as much as digits as its factorization.

59728553902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 59728553902080 in words is "fifty-nine trillion, seven hundred twenty-eight billion, five hundred fifty-three million, nine hundred two thousand, eighty".