92868821136000 has 7680 divisors, whose sum is σ = 463879216120320. Its totient is φ = 18209724825600.

The previous prime is 92868821135953. The next prime is 92868821136041. The reversal of 92868821136000 is 63112886829.

92868821136000 is a `hidden beast` number, since 9 + 2 + 8 + 6 + 8 + 8 + 21 + 1 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1272175631964 + ... + 1272175632036.

It is an arithmetic number, because the mean of its divisors is an integer number (60400939599).

Almost surely, 2^{92868821136000} is an apocalyptic number.

92868821136000 is a gapful number since it is divisible by the number (90) 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 92868821136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231939608060160).

92868821136000 is an abundant number, since it is smaller than the sum of its proper divisors (371010394984320).

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

92868821136000 is a wasteful number, since it uses less digits than its factorization.

92868821136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 92868821136000 in words is "ninety-two trillion, eight hundred sixty-eight billion, eight hundred twenty-one million, one hundred thirty-six thousand".