10087882560 has 672 divisors, whose sum is σ = 42177687552. Its totient is φ = 2246952960.

The previous prime is 10087882513. The next prime is 10087882601. The reversal of 10087882560 is 6528878001.

10087882560 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 7 + 8 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23405545 + ... + 23405975.

It is an arithmetic number, because the mean of its divisors is an integer number (62764416).

Almost surely, 2^10087882560 is an apocalyptic number.

10087882560 is a gapful number since it is divisible by the number (10) 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 10087882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21088843776).

10087882560 is an abundant number, since it is smaller than the sum of its proper divisors (32089804992).

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

10087882560 is an equidigital number, since it uses as much as digits as its factorization.

10087882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10087882560 in words is "ten billion, eighty-seven million, eight hundred eighty-two thousand, five hundred sixty".