87390305280 has 528 divisors, whose sum is σ = 310237424640. Its totient is φ = 22741254144.

The previous prime is 87390305279. The next prime is 87390305311. The reversal of 87390305280 is 8250309378.

87390305280 is a `hidden beast` number, since 8 + 7 + 3 + 90 + 30 + 528 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 637885372 + ... + 637885508.

It is an arithmetic number, because the mean of its divisors is an integer number (587570880).

Almost surely, 2^87390305280 is an apocalyptic number.

87390305280 is a gapful number since it is divisible by the number (80) 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 87390305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155118712320).

87390305280 is an abundant number, since it is smaller than the sum of its proper divisors (222847119360).

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

87390305280 is a wasteful number, since it uses less digits than its factorization.

87390305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 87390305280 in words is "eighty-seven billion, three hundred ninety million, three hundred five thousand, two hundred eighty".