87337553940 has 432 divisors, whose sum is σ = 342280330560. Its totient is φ = 18426320640.

The previous prime is 87337553923. The next prime is 87337553971. The reversal of 87337553940 is 4935573378.

87337553940 is a `hidden beast` number, since 8 + 7 + 33 + 75 + 539 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4461975 + ... + 4481505.

It is an arithmetic number, because the mean of its divisors is an integer number (792315580).

Almost surely, 2^87337553940 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 87337553940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171140165280).

87337553940 is an abundant number, since it is smaller than the sum of its proper divisors (254942776620).

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

87337553940 is a wasteful number, since it uses less digits than its factorization.

87337553940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19589 (or 19561 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 87337553940 in words is "eighty-seven billion, three hundred thirty-seven million, five hundred fifty-three thousand, nine hundred forty".