87868108800 has 624 divisors, whose sum is σ = 328715969760. Its totient is φ = 23003136000.

The previous prime is 87868108789. The next prime is 87868108819. The reversal of 87868108800 is 880186878.

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 47 ways as a sum of consecutive naturals, for example, 168652540 + ... + 168653060.

Almost surely, 2^87868108800 is an apocalyptic number.

87868108800 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 87868108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164357984880).

87868108800 is an abundant number, since it is smaller than the sum of its proper divisors (240847860960).

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

87868108800 is a wasteful number, since it uses less digits than its factorization.

87868108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 87868108800 in words is "eighty-seven billion, eight hundred sixty-eight million, one hundred eight thousand, eight hundred".