87988424428800 has 2268 divisors, whose sum is σ = 381653942086956. Its totient is φ = 20015647948800.

The previous prime is 87988424428783. The next prime is 87988424428871. The reversal of 87988424428800 is 882442488978.

87988424428800 is a `hidden beast` number, since 8 + 7 + 9 + 88 + 42 + 4 + 428 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2530084709376 + 85458339719424 = 1590624^2 + 9244368^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 55096069602 + ... + 55096071198.

Almost surely, 2^{87988424428800} is an apocalyptic number.

87988424428800 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 87988424428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190826971043478).

87988424428800 is an abundant number, since it is smaller than the sum of its proper divisors (293665517658156).

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

87988424428800 is a wasteful number, since it uses less digits than its factorization.

87988424428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 87988424428800 in words is "eighty-seven trillion, nine hundred eighty-eight billion, four hundred twenty-four million, four hundred twenty-eight thousand, eight hundred".