59955904512 has 480 divisors, whose sum is σ = 208821641490. Its totient is φ = 17093099520.

The previous prime is 59955904501. The next prime is 59955904543. The reversal of 59955904512 is 21540955995.

59955904512 is a `hidden beast` number, since 5 + 9 + 9 + 5 + 590 + 45 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54688628736 + 5267275776 = 233856^2 + 72576^2 .

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 29 ways as a sum of consecutive naturals, for example, 130055962 + ... + 130056422.

Almost surely, 2^59955904512 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 59955904512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104410820745).

59955904512 is an abundant number, since it is smaller than the sum of its proper divisors (148865736978).

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

59955904512 is an frugal number, since it uses more digits than its factorization.

59955904512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 54.

The spelling of 59955904512 in words is "fifty-nine billion, nine hundred fifty-five million, nine hundred four thousand, five hundred twelve".