59978594880 has 560 divisors, whose sum is σ = 228896997120. Its totient is φ = 14854275072.

The previous prime is 59978594867. The next prime is 59978594891. The reversal of 59978594880 is 8849587995.

59978594880 is a `hidden beast` number, since 5 + 9 + 97 + 8 + 59 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 59978594799 and 59978594808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34809699 + ... + 34811421.

Almost surely, 2^59978594880 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 59978594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114448498560).

59978594880 is an abundant number, since it is smaller than the sum of its proper divisors (168918402240).

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

59978594880 is a wasteful number, since it uses less digits than its factorization.

59978594880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 59978594880 in words is "fifty-nine billion, nine hundred seventy-eight million, five hundred ninety-four thousand, eight hundred eighty".