87407582560 has 48 divisors (see below), whose sum is σ = 206547818400. Its totient is φ = 34955006976.

The previous prime is 87407582533. The next prime is 87407582569. The reversal of 87407582560 is 6528570478.

It is a junction number, because it is equal to n+sod(n) for n = 87407582498 and 87407582507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87407582569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662596 + ... + 783484.

It is an arithmetic number, because the mean of its divisors is an integer number (4303079550).

Almost surely, 2^87407582560 is an apocalyptic number.

87407582560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87407582560 is an abundant number, since it is smaller than the sum of its proper divisors (119140235840).

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

87407582560 is a wasteful number, since it uses less digits than its factorization.

87407582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125423 (or 125415 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 87407582560 in words is "eighty-seven billion, four hundred seven million, five hundred eighty-two thousand, five hundred sixty".