87862385520 has 960 divisors, whose sum is σ = 385511992320. Its totient is φ = 17414258688.

The previous prime is 87862385483. The next prime is 87862385551. The reversal of 87862385520 is 2558326878.

87862385520 is a `hidden beast` number, since 8 + 7 + 8 + 623 + 8 + 5 + 5 + 2 + 0 = 666.

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, 202915224 + ... + 202915656.

It is an arithmetic number, because the mean of its divisors is an integer number (401574992).

Almost surely, 2^87862385520 is an apocalyptic number.

87862385520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87862385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192755996160).

87862385520 is an abundant number, since it is smaller than the sum of its proper divisors (297649606800).

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

87862385520 is a wasteful number, since it uses less digits than its factorization.

87862385520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 87862385520 in words is "eighty-seven billion, eight hundred sixty-two million, three hundred eighty-five thousand, five hundred twenty".