87439290624 has 432 divisors, whose sum is σ = 303599342592. Its totient is φ = 23662374912.

The previous prime is 87439290623. The next prime is 87439290641. The reversal of 87439290624 is 42609293478.

87439290624 is a `hidden beast` number, since 8 + 7 + 4 + 3 + 9 + 2 + 9 + 0 + 624 = 666.

It is not an unprimeable number, because it can be changed into a prime (87439290623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39689907 + ... + 39692109.

It is an arithmetic number, because the mean of its divisors is an integer number (702776256).

Almost surely, 2^87439290624 is an apocalyptic number.

87439290624 is a gapful number since it is divisible by the number (84) 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 87439290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151799671296).

87439290624 is an abundant number, since it is smaller than the sum of its proper divisors (216160051968).

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

87439290624 is a wasteful number, since it uses less digits than its factorization.

87439290624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 87439290624 in words is "eighty-seven billion, four hundred thirty-nine million, two hundred ninety thousand, six hundred twenty-four".