87859329868800 has 1320 divisors, whose sum is σ = 372510674737344. Its totient is φ = 20044233768960.

The previous prime is 87859329868753. The next prime is 87859329868889. The reversal of 87859329868800 is 886892395878.

87859329868800 is a `hidden beast` number, since 87 + 85 + 9 + 329 + 8 + 68 + 80 + 0 = 666.

It is a super-2 number, since 2×87859329868800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 87859329868800.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8084960967 + ... + 8084971833.

Almost surely, 2^{87859329868800} is an apocalyptic number.

87859329868800 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 87859329868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186255337368672).

87859329868800 is an abundant number, since it is smaller than the sum of its proper divisors (284651344868544).

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

87859329868800 is a wasteful number, since it uses less digits than its factorization.

87859329868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11473 (or 11441 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 81.

The spelling of 87859329868800 in words is "eighty-seven trillion, eight hundred fifty-nine billion, three hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred".