87572129424 has 160 divisors (see below), whose sum is σ = 254451214080. Its totient is φ = 25750585344.

The previous prime is 87572129399. The next prime is 87572129467. The reversal of 87572129424 is 42492127578.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 22286692 + ... + 22290620.

It is an arithmetic number, because the mean of its divisors is an integer number (1590320088).

Almost surely, 2^87572129424 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 87572129424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127225607040).

87572129424 is an abundant number, since it is smaller than the sum of its proper divisors (166879084656).

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

87572129424 is a wasteful number, since it uses less digits than its factorization.

87572129424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5523 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 87572129424 in words is "eighty-seven billion, five hundred seventy-two million, one hundred twenty-nine thousand, four hundred twenty-four".