59472086319360 has 1728 divisors, whose sum is σ = 252285528418560. Its totient is φ = 13079087677440.

The previous prime is 59472086319319. The next prime is 59472086319391. The reversal of 59472086319360 is 6391368027495.

59472086319360 is a `hidden beast` number, since 5 + 9 + 4 + 7 + 208 + 63 + 1 + 9 + 360 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17203378752 + ... + 17203382208.

It is a 1-persistent number, because it is pandigital, but 2⋅59472086319360 = 118944172638720 is not.

Almost surely, 2^{59472086319360} 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 59472086319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126142764209280).

59472086319360 is an abundant number, since it is smaller than the sum of its proper divisors (192813442099200).

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

59472086319360 is a wasteful number, since it uses less digits than its factorization.

59472086319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 59472086319360 in words is "fifty-nine trillion, four hundred seventy-two billion, eighty-six million, three hundred nineteen thousand, three hundred sixty".