87117192000 has 672 divisors, whose sum is σ = 335869507584. Its totient is φ = 21491712000.

The previous prime is 87117191989. The next prime is 87117192061. The reversal of 87117192000 is 29171178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51335152 + ... + 51336848.

Almost surely, 2^87117192000 is an apocalyptic number.

87117192000 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 87117192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167934753792).

87117192000 is an abundant number, since it is smaller than the sum of its proper divisors (248752315584).

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

87117192000 is a wasteful number, since it uses less digits than its factorization.

87117192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 87117192000 in words is "eighty-seven billion, one hundred seventeen million, one hundred ninety-two thousand".