87166872000 has 672 divisors, whose sum is σ = 350482204800. Its totient is φ = 20518502400.

The previous prime is 87166871999. The next prime is 87166872031. The reversal of 87166872000 is 27866178.

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 95 ways as a sum of consecutive naturals, for example, 21525976 + ... + 21530024.

It is an arithmetic number, because the mean of its divisors is an integer number (521550900).

Almost surely, 2^87166872000 is an apocalyptic number.

87166872000 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 87166872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175241102400).

87166872000 is an abundant number, since it is smaller than the sum of its proper divisors (263315332800).

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

87166872000 is a wasteful number, since it uses less digits than its factorization.

87166872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 87166872000 in words is "eighty-seven billion, one hundred sixty-six million, eight hundred seventy-two thousand".