92130077491200 has 2160 divisors, whose sum is σ = 387639226001664. Its totient is φ = 20481992294400.

The previous prime is 92130077491189. The next prime is 92130077491247. The reversal of 92130077491200 is 219477003129.

92130077491200 is a `hidden beast` number, since 9 + 2 + 130 + 0 + 7 + 7 + 491 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168427929327 + ... + 168427929873.

Almost surely, 2^{92130077491200} is an apocalyptic number.

92130077491200 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 92130077491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193819613000832).

92130077491200 is an abundant number, since it is smaller than the sum of its proper divisors (295509148510464).

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

92130077491200 is a wasteful number, since it uses less digits than its factorization.

92130077491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 92130077491200 in words is "ninety-two trillion, one hundred thirty billion, seventy-seven million, four hundred ninety-one thousand, two hundred".