87715454400 has 504 divisors, whose sum is σ = 357374403360. Its totient is φ = 19988766720.

The previous prime is 87715454357. The next prime is 87715454417. The reversal of 87715454400 is 445451778.

87715454400 is a `hidden beast` number, since 87 + 71 + 54 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39210082 + ... + 39212318.

Almost surely, 2^87715454400 is an apocalyptic number.

87715454400 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 87715454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178687201680).

87715454400 is an abundant number, since it is smaller than the sum of its proper divisors (269658948960).

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

87715454400 is a wasteful number, since it uses less digits than its factorization.

87715454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 87715454400 in words is "eighty-seven billion, seven hundred fifteen million, four hundred fifty-four thousand, four hundred".