155117589120 has 384 divisors, whose sum is σ = 586637251200. Its totient is φ = 37534556160.

The previous prime is 155117589073. The next prime is 155117589191. The reversal of 155117589120 is 21985711551.

155117589120 is a `hidden beast` number, since 1 + 5 + 51 + 1 + 7 + 589 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×155117589120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4400365 + ... + 4435475.

It is an arithmetic number, because the mean of its divisors is an integer number (1527701175).

Almost surely, 2^155117589120 is an apocalyptic number.

155117589120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155117589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293318625600).

155117589120 is an abundant number, since it is smaller than the sum of its proper divisors (431519662080).

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

155117589120 is a wasteful number, since it uses less digits than its factorization.

155117589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35208 (or 35193 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 45.

The spelling of 155117589120 in words is "one hundred fifty-five billion, one hundred seventeen million, five hundred eighty-nine thousand, one hundred twenty".