87501772800 has 864 divisors, whose sum is σ = 350626152240. Its totient is φ = 21499084800.

The previous prime is 87501772777. The next prime is 87501772847. The reversal of 87501772800 is 827710578.

It is a tau number, because it is divible by the number of its divisors (864).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161740530 + ... + 161741070.

Almost surely, 2^87501772800 is an apocalyptic number.

87501772800 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 87501772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175313076120).

87501772800 is an abundant number, since it is smaller than the sum of its proper divisors (263124379440).

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

87501772800 is a wasteful number, since it uses less digits than its factorization.

87501772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 87501772800 in words is "eighty-seven billion, five hundred one million, seven hundred seventy-two thousand, eight hundred".