87664550400 has 1200 divisors, whose sum is σ = 380166310656. Its totient is φ = 19534970880.

The previous prime is 87664550333. The next prime is 87664550459. The reversal of 87664550400 is 405546678.

87664550400 is a `hidden beast` number, since 87 + 6 + 64 + 5 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 341107072 + ... + 341107328.

Almost surely, 2^87664550400 is an apocalyptic number.

87664550400 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 87664550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190083155328).

87664550400 is an abundant number, since it is smaller than the sum of its proper divisors (292501760256).

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

87664550400 is a wasteful number, since it uses less digits than its factorization.

87664550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 87664550400 in words is "eighty-seven billion, six hundred sixty-four million, five hundred fifty thousand, four hundred".