59070912291072 has 1440 divisors, whose sum is σ = 204317577547776. Its totient is φ = 16807208140800.

The previous prime is 59070912290989. The next prime is 59070912291091. The reversal of 59070912291072 is 27019221907095.

59070912291072 is a `hidden beast` number, since 590 + 7 + 0 + 9 + 12 + 29 + 10 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52600989903 + ... + 52600991025.

Almost surely, 2^{59070912291072} 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 59070912291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102158788773888).

59070912291072 is an abundant number, since it is smaller than the sum of its proper divisors (145246665256704).

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

59070912291072 is a wasteful number, since it uses less digits than its factorization.

59070912291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 59070912291072 in words is "fifty-nine trillion, seventy billion, nine hundred twelve million, two hundred ninety-one thousand, seventy-two".