59730440968704 has 320 divisors, whose sum is σ = 180540686227968. Its totient is φ = 17389364428800.

The previous prime is 59730440968697. The next prime is 59730440968799. The reversal of 59730440968704 is 40786904403795.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43644327 + ... + 44992089.

Almost surely, 2^{59730440968704} 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 59730440968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90270343113984).

59730440968704 is an abundant number, since it is smaller than the sum of its proper divisors (120810245259264).

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

59730440968704 is a wasteful number, since it uses less digits than its factorization.

59730440968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347899 (or 1347883 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 59730440968704 in words is "fifty-nine trillion, seven hundred thirty billion, four hundred forty million, nine hundred sixty-eight thousand, seven hundred four".