59621398824960 has 2304 divisors, whose sum is σ = 261569744916480. Its totient is φ = 12728413716480.

The previous prime is 59621398824941. The next prime is 59621398824973. The reversal of 59621398824960 is 6942889312695.

59621398824960 is a `hidden beast` number, since 5 + 9 + 6 + 21 + 39 + 8 + 82 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×59621398824960² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17226637630 + ... + 17226641090.

It is an arithmetic number, because the mean of its divisors is an integer number (113528535120).

Almost surely, 2^{59621398824960} 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 59621398824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130784872458240).

59621398824960 is an abundant number, since it is smaller than the sum of its proper divisors (201948346091520).

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

59621398824960 is a wasteful number, since it uses less digits than its factorization.

59621398824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 59621398824960 in words is "fifty-nine trillion, six hundred twenty-one billion, three hundred ninety-eight million, eight hundred twenty-four thousand, nine hundred sixty".