59972138772480 has 2304 divisors, whose sum is σ = 238438287360000. Its totient is φ = 13815683481600.

The previous prime is 59972138772463. The next prime is 59972138772521. The reversal of 59972138772480 is 8427783127995.

It is a happy number.

59972138772480 is a `hidden beast` number, since 5 + 9 + 9 + 7 + 2 + 138 + 7 + 7 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 59972138772399 and 59972138772408.

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, 301367531421 + ... + 301367531619.

It is an arithmetic number, because the mean of its divisors is an integer number (103488840000).

Almost surely, 2^{59972138772480} 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 59972138772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119219143680000).

59972138772480 is an abundant number, since it is smaller than the sum of its proper divisors (178466148587520).

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

59972138772480 is a wasteful number, since it uses less digits than its factorization.

59972138772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 59972138772480 in words is "fifty-nine trillion, nine hundred seventy-two billion, one hundred thirty-eight million, seven hundred seventy-two thousand, four hundred eighty".