92120268800 has 540 divisors, whose sum is σ = 278647946640. Its totient is φ = 29585571840.

The previous prime is 92120268791. The next prime is 92120268809. The reversal of 92120268800 is 886202129.

It is an interprime number because it is at equal distance from previous prime (92120268791) and next prime (92120268809).

It is a super-2 number, since 2×92120268800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92120268809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1035059156 + ... + 1035059244.

It is an arithmetic number, because the mean of its divisors is an integer number (516014716).

Almost surely, 2^92120268800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92120268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139323973320).

92120268800 is an abundant number, since it is smaller than the sum of its proper divisors (186527677840).

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

92120268800 is an equidigital number, since it uses as much as digits as its factorization.

92120268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 92120268800 in words is "ninety-two billion, one hundred twenty million, two hundred sixty-eight thousand, eight hundred".