59478068352120 has 128 divisors (see below), whose sum is σ = 194666352122880. Its totient is φ = 14418121536000.

The previous prime is 59478068352103. The next prime is 59478068352151. The reversal of 59478068352120 is 2125386087495.

It is a super-2 number, since 2×59478068352120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22593105 + ... + 25087935.

It is an arithmetic number, because the mean of its divisors is an integer number (1520830875960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅59478068352120 = 118956136704240, but 3⋅59478068352120 = 178434205056360 is not.

Almost surely, 2^{59478068352120} is an apocalyptic number.

It is an amenable number.

59478068352120 is an abundant number, since it is smaller than the sum of its proper divisors (135188283770760).

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

59478068352120 is a wasteful number, since it uses less digits than its factorization.

59478068352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512917 (or 2512913 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 59478068352120 in words is "fifty-nine trillion, four hundred seventy-eight billion, sixty-eight million, three hundred fifty-two thousand, one hundred twenty".