59121912960 has 640 divisors, whose sum is σ = 231930864000. Its totient is φ = 14233190400.

The previous prime is 59121912959. The next prime is 59121913007. The reversal of 59121912960 is 6921912195.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 113477500 + ... + 113478020.

It is an arithmetic number, because the mean of its divisors is an integer number (362391975).

Almost surely, 2^59121912960 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 59121912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115965432000).

59121912960 is an abundant number, since it is smaller than the sum of its proper divisors (172808951040).

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

59121912960 is a wasteful number, since it uses less digits than its factorization.

59121912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 59121912960 in words is "fifty-nine billion, one hundred twenty-one million, nine hundred twelve thousand, nine hundred sixty".