87249508992 has 160 divisors (see below), whose sum is σ = 261018489600. Its totient is φ = 28930245120.

The previous prime is 87249508981. The next prime is 87249509027. The reversal of 87249508992 is 29980594278.

It is a happy number.

87249508992 is a `hidden beast` number, since 87 + 2 + 49 + 508 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×87249508992² (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 19 ways as a sum of consecutive naturals, for example, 1958259 + ... + 2002317.

It is an arithmetic number, because the mean of its divisors is an integer number (1631365560).

Almost surely, 2^87249508992 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 87249508992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130509244800).

87249508992 is an abundant number, since it is smaller than the sum of its proper divisors (173768980608).

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

87249508992 is a wasteful number, since it uses less digits than its factorization.

87249508992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44276 (or 44255 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 87249508992 in words is "eighty-seven billion, two hundred forty-nine million, five hundred eight thousand, nine hundred ninety-two".