59138317152 has 144 divisors (see below), whose sum is σ = 181810989360. Its totient is φ = 18170459136.

The previous prime is 59138317087. The next prime is 59138317153. The reversal of 59138317152 is 25171383195.

59138317152 is a `hidden beast` number, since 59 + 1 + 383 + 171 + 52 = 666.

59138317152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×59138317152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59138317098 and 59138317107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59138317153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56418 + ... + 348510.

It is an arithmetic number, because the mean of its divisors is an integer number (1262576315).

Almost surely, 2^59138317152 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 59138317152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90905494680).

59138317152 is an abundant number, since it is smaller than the sum of its proper divisors (122672672208).

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

59138317152 is a wasteful number, since it uses less digits than its factorization.

59138317152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292165 (or 292154 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 59138317152 in words is "fifty-nine billion, one hundred thirty-eight million, three hundred seventeen thousand, one hundred fifty-two".