87088162645344 has 192 divisors, whose sum is σ = 268614081792000. Its totient is φ = 24189477132288.

The previous prime is 87088162645301. The next prime is 87088162645361. The reversal of 87088162645344 is 44354626188078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4546839 + ... + 13958870.

It is an arithmetic number, because the mean of its divisors is an integer number (1399031676000).

Almost surely, 2^{87088162645344} is an apocalyptic number.

87088162645344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87088162645344 is an abundant number, since it is smaller than the sum of its proper divisors (181525919146656).

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

87088162645344 is a wasteful number, since it uses less digits than its factorization.

87088162645344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18505925 (or 18505917 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 66.

The spelling of 87088162645344 in words is "eighty-seven trillion, eighty-eight billion, one hundred sixty-two million, six hundred forty-five thousand, three hundred forty-four".