87390033920 has 384 divisors, whose sum is σ = 247665600000. Its totient is φ = 29580558336.

The previous prime is 87390033869. The next prime is 87390033967. The reversal of 87390033920 is 2933009378.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 488212391 + ... + 488212569.

It is an arithmetic number, because the mean of its divisors is an integer number (644962500).

Almost surely, 2^87390033920 is an apocalyptic number.

87390033920 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 87390033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800000).

87390033920 is an abundant number, since it is smaller than the sum of its proper divisors (160275566080).

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

87390033920 is a wasteful number, since it uses less digits than its factorization.

87390033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The spelling of 87390033920 in words is "eighty-seven billion, three hundred ninety million, thirty-three thousand, nine hundred twenty".