87971323104 has 192 divisors, whose sum is σ = 310487385600. Its totient is φ = 23656126464.

The previous prime is 87971323093. The next prime is 87971323123. The reversal of 87971323104 is 40132317978.

It is a self number, because there is not a number n which added to its sum of digits gives 87971323104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324994 + ... + 530625.

It is an arithmetic number, because the mean of its divisors is an integer number (1617121800).

Almost surely, 2^87971323104 is an apocalyptic number.

87971323104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87971323104 is an abundant number, since it is smaller than the sum of its proper divisors (222516062496).

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

87971323104 is a wasteful number, since it uses less digits than its factorization.

87971323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855662 (or 855648 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 87971323104 in words is "eighty-seven billion, nine hundred seventy-one million, three hundred twenty-three thousand, one hundred four".