59142405924 has 108 divisors (see below), whose sum is σ = 174011318208. Its totient is φ = 16887679200.

The previous prime is 59142405913. The next prime is 59142405929. The reversal of 59142405924 is 42950424195.

59142405924 is a `hidden beast` number, since 5 + 9 + 14 + 2 + 40 + 592 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 59142405924.

It is not an unprimeable number, because it can be changed into a prime (59142405929) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3220729 + ... + 3239039.

Almost surely, 2^59142405924 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 59142405924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87005659104).

59142405924 is an abundant number, since it is smaller than the sum of its proper divisors (114868912284).

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

59142405924 is a wasteful number, since it uses less digits than its factorization.

59142405924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20166 (or 20154 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 59142405924 in words is "fifty-nine billion, one hundred forty-two million, four hundred five thousand, nine hundred twenty-four".