87815973484800 has 1080 divisors, whose sum is σ = 354409722263520. Its totient is φ = 21276927590400.

The previous prime is 87815973484781. The next prime is 87815973484817. The reversal of 87815973484800 is 848437951878.

87815973484800 is a `hidden beast` number, since 8 + 7 + 8 + 15 + 97 + 3 + 48 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 14786320231 + ... + 14786326169.

It is an arithmetic number, because the mean of its divisors is an integer number (328157150244).

Almost surely, 2^{87815973484800} is an apocalyptic number.

87815973484800 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 87815973484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177204861131760).

87815973484800 is an abundant number, since it is smaller than the sum of its proper divisors (266593748778720).

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

87815973484800 is a wasteful number, since it uses less digits than its factorization.

87815973484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 87815973484800 in words is "eighty-seven trillion, eight hundred fifteen billion, nine hundred seventy-three million, four hundred eighty-four thousand, eight hundred".