87571332576 has 1152 divisors, whose sum is σ = 347527756800. Its totient is φ = 20827238400.

The previous prime is 87571332533. The next prime is 87571332613. The reversal of 87571332576 is 67523317578.

It is a happy number.

87571332576 is a `hidden beast` number, since 8 + 7 + 57 + 13 + 3 + 2 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1435595586 + ... + 1435595646.

It is an arithmetic number, because the mean of its divisors is an integer number (301673400).

Almost surely, 2^87571332576 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 87571332576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173763878400).

87571332576 is an abundant number, since it is smaller than the sum of its proper divisors (259956424224).

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

87571332576 is a wasteful number, since it uses less digits than its factorization.

87571332576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 136 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 87571332576 in words is "eighty-seven billion, five hundred seventy-one million, three hundred thirty-two thousand, five hundred seventy-six".