92188990080 has 1344 divisors, whose sum is σ = 384332376960. Its totient is φ = 21076070400.

The previous prime is 92188990079. The next prime is 92188990093. The reversal of 92188990080 is 8009988129.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 92188989999 and 92188990026.

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 167 ways as a sum of consecutive naturals, for example, 1298436445 + ... + 1298436515.

It is an arithmetic number, because the mean of its divisors is an integer number (285961590).

Almost surely, 2^92188990080 is an apocalyptic number.

92188990080 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 92188990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192166188480).

92188990080 is an abundant number, since it is smaller than the sum of its proper divisors (292143386880).

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

92188990080 is a wasteful number, since it uses less digits than its factorization.

92188990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 92188990080 in words is "ninety-two billion, one hundred eighty-eight million, nine hundred ninety thousand, eighty".