87092413824 has 256 divisors, whose sum is σ = 268363468800. Its totient is φ = 24804679680.

The previous prime is 87092413819. The next prime is 87092413841. The reversal of 87092413824 is 42831429078.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3547062 + ... + 3571530.

It is an arithmetic number, because the mean of its divisors is an integer number (1048294800).

Almost surely, 2^87092413824 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 87092413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134181734400).

87092413824 is an abundant number, since it is smaller than the sum of its proper divisors (181271054976).

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

87092413824 is a wasteful number, since it uses less digits than its factorization.

87092413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24553 (or 24541 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 87092413824 in words is "eighty-seven billion, ninety-two million, four hundred thirteen thousand, eight hundred twenty-four".