87197990400 has 600 divisors, whose sum is σ = 333259485504. Its totient is φ = 22494412800.

The previous prime is 87197990359. The next prime is 87197990417. The reversal of 87197990400 is 409979178.

87197990400 is a `hidden beast` number, since 87 + 1 + 9 + 79 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32139444 + ... + 32142156.

Almost surely, 2^87197990400 is an apocalyptic number.

87197990400 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 87197990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166629742752).

87197990400 is an abundant number, since it is smaller than the sum of its proper divisors (246061495104).

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

87197990400 is a wasteful number, since it uses less digits than its factorization.

87197990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 87197990400 in words is "eighty-seven billion, one hundred ninety-seven million, nine hundred ninety thousand, four hundred".