155172568320 has 2592 divisors, whose sum is σ = 759967703040. Its totient is φ = 29561241600.

The previous prime is 155172568279. The next prime is 155172568337. The reversal of 155172568320 is 23865271551.

155172568320 is a `hidden beast` number, since 1 + 5 + 51 + 7 + 2 + 568 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5005566705 + ... + 5005566735.

Almost surely, 2^155172568320 is an apocalyptic number.

155172568320 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 155172568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379983851520).

155172568320 is an abundant number, since it is smaller than the sum of its proper divisors (604795134720).

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

155172568320 is a wasteful number, since it uses less digits than its factorization.

155172568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 155172568320 in words is "one hundred fifty-five billion, one hundred seventy-two million, five hundred sixty-eight thousand, three hundred twenty".