87444927727164 has 96 divisors (see below), whose sum is σ = 260960083059200. Its totient is φ = 24804522120960.

The previous prime is 87444927727163. The next prime is 87444927727169. The reversal of 87444927727164 is 46172772944478.

87444927727164 is a `hidden beast` number, since 8 + 7 + 4 + 4 + 492 + 7 + 7 + 2 + 71 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87444927727092 and 87444927727101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87444927727163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415966477 + ... + 416176644.

Almost surely, 2^{87444927727164} is an apocalyptic number.

87444927727164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87444927727164 is an abundant number, since it is smaller than the sum of its proper divisors (173515155332036).

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

87444927727164 is a wasteful number, since it uses less digits than its factorization.

87444927727164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832143280 (or 832143272 counting only the distinct ones).

The product of its digits is 1062125568, while the sum is 72.

The spelling of 87444927727164 in words is "eighty-seven trillion, four hundred forty-four billion, nine hundred twenty-seven million, seven hundred twenty-seven thousand, one hundred sixty-four".