87992024400 has 540 divisors, whose sum is σ = 366692137344. Its totient is φ = 19462464000.

The previous prime is 87992024339. The next prime is 87992024507. The reversal of 87992024400 is 442029978.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5460355 + ... + 5476445.

Almost surely, 2^87992024400 is an apocalyptic number.

87992024400 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 87992024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183346068672).

87992024400 is an abundant number, since it is smaller than the sum of its proper divisors (278700112944).

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

87992024400 is a wasteful number, since it uses less digits than its factorization.

87992024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160 (or 16139 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87992024400 in words is "eighty-seven billion, nine hundred ninety-two million, twenty-four thousand, four hundred".