87529458816 has 256 divisors, whose sum is σ = 261154108800. Its totient is φ = 28860088320.

The previous prime is 87529458773. The next prime is 87529458827. The reversal of 87529458816 is 61885492578.

87529458816 is a `hidden beast` number, since 87 + 5 + 29 + 458 + 81 + 6 = 666.

It is a super-2 number, since 2×87529458816² (a number of 23 digits) contains 22 as substring.

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, 187429015 + ... + 187429481.

Almost surely, 2^87529458816 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 87529458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130577054400).

87529458816 is an abundant number, since it is smaller than the sum of its proper divisors (173624649984).

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

87529458816 is a wasteful number, since it uses less digits than its factorization.

87529458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 946 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 87529458816 in words is "eighty-seven billion, five hundred twenty-nine million, four hundred fifty-eight thousand, eight hundred sixteen".