87057484800 has 528 divisors, whose sum is σ = 338074528512. Its totient is φ = 19478937600.

The previous prime is 87057484769. The next prime is 87057484847. The reversal of 87057484800 is 848475078.

It is a tau number, because it is divible by the number of its divisors (528).

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, 10978437 + ... + 10986363.

Almost surely, 2^87057484800 is an apocalyptic number.

87057484800 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 87057484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169037264256).

87057484800 is an abundant number, since it is smaller than the sum of its proper divisors (251017043712).

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

87057484800 is a wasteful number, since it uses less digits than its factorization.

87057484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 87057484800 in words is "eighty-seven billion, fifty-seven million, four hundred eighty-four thousand, eight hundred".