59412871249920 has 1728 divisors, whose sum is σ = 227814262663680. Its totient is φ = 14685202022400.

The previous prime is 59412871249913. The next prime is 59412871249973. The reversal of 59412871249920 is 2994217821495.

59412871249920 is a `hidden beast` number, since 5 + 9 + 4 + 128 + 7 + 12 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 453533368255 + ... + 453533368385.

It is an arithmetic number, because the mean of its divisors is an integer number (131836957560).

Almost surely, 2^{59412871249920} 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 59412871249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113907131331840).

59412871249920 is an abundant number, since it is smaller than the sum of its proper divisors (168401391413760).

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

59412871249920 is an equidigital number, since it uses as much as digits as its factorization.

59412871249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 59412871249920 in words is "fifty-nine trillion, four hundred twelve billion, eight hundred seventy-one million, two hundred forty-nine thousand, nine hundred twenty".