87057663638400 has 2304 divisors, whose sum is σ = 392435522519040. Its totient is φ = 17885327523840.

The previous prime is 87057663638399. The next prime is 87057663638423. The reversal of 87057663638400 is 483636675078.

87057663638400 is a `hidden beast` number, since 8 + 70 + 5 + 76 + 63 + 6 + 38 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43161954192 + ... + 43161956208.

It is an arithmetic number, because the mean of its divisors is an integer number (170327917760).

Almost surely, 2^{87057663638400} is an apocalyptic number.

87057663638400 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 87057663638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196217761259520).

87057663638400 is an abundant number, since it is smaller than the sum of its proper divisors (305377858880640).

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

87057663638400 is a wasteful number, since it uses less digits than its factorization.

87057663638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 87057663638400 in words is "eighty-seven trillion, fifty-seven billion, six hundred sixty-three million, six hundred thirty-eight thousand, four hundred".