87972160185 has 128 divisors (see below), whose sum is σ = 199124352000. Its totient is φ = 35842093056.

The previous prime is 87972160181. The next prime is 87972160219. The reversal of 87972160185 is 58106127978.

87972160185 is a `hidden beast` number, since 8 + 7 + 9 + 7 + 21 + 601 + 8 + 5 = 666.

It is not a de Polignac number, because 87972160185 - 2² = 87972160181 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87972160181) 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 127 ways as a sum of consecutive naturals, for example, 232801 + ... + 479729.

It is an arithmetic number, because the mean of its divisors is an integer number (1555659000).

Almost surely, 2^87972160185 is an apocalyptic number.

It is an amenable number.

87972160185 is an abundant number, since it is smaller than the sum of its proper divisors (111152191815).

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

87972160185 is a wasteful number, since it uses less digits than its factorization.

87972160185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246992 (or 246986 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 87972160185 in words is "eighty-seven billion, nine hundred seventy-two million, one hundred sixty thousand, one hundred eighty-five".