87001023113576 has 256 divisors, whose sum is σ = 205762267872000. Its totient is φ = 33893223137280.

The previous prime is 87001023113549. The next prime is 87001023113581. The reversal of 87001023113576 is 67531132010078.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1070174786 + ... + 1070256078.

It is an arithmetic number, because the mean of its divisors is an integer number (803758858875).

Almost surely, 2^{87001023113576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87001023113576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102881133936000).

87001023113576 is an abundant number, since it is smaller than the sum of its proper divisors (118761244758424).

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

87001023113576 is a wasteful number, since it uses less digits than its factorization.

87001023113576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82324 (or 82320 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 87001023113576 in words is "eighty-seven trillion, one billion, twenty-three million, one hundred thirteen thousand, five hundred seventy-six".