92791111680 has 800 divisors, whose sum is σ = 365407416000. Its totient is φ = 22422749184.

The previous prime is 92791111663. The next prime is 92791111709. The reversal of 92791111680 is 8611119729.

It is a happy number.

It is a super-2 number, since 2×92791111680² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 4034396149 + ... + 4034396171.

It is an arithmetic number, because the mean of its divisors is an integer number (456759270).

Almost surely, 2^92791111680 is an apocalyptic number.

92791111680 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 92791111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182703708000).

92791111680 is an abundant number, since it is smaller than the sum of its proper divisors (272616304320).

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

92791111680 is an frugal number, since it uses more digits than its factorization.

92791111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 92791111680 in words is "ninety-two billion, seven hundred ninety-one million, one hundred eleven thousand, six hundred eighty".