92160816400 has 135 divisors (see below), whose sum is σ = 227329315599. Its totient is φ = 35905013760.

The previous prime is 92160816337. The next prime is 92160816413. The reversal of 92160816400 is 461806129.

It is a happy number.

The square root of 92160816400 is 303580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5046113296 + 87114703104 = 71036^2 + 295152^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 92160816400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261078624 + ... + 261078976.

Almost surely, 2^92160816400 is an apocalyptic number.

92160816400 is the 303580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92160816400

92160816400 is an abundant number, since it is smaller than the sum of its proper divisors (135168499199).

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

92160816400 is an equidigital number, since it uses as much as digits as its factorization.

92160816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 92160816400 in words is "ninety-two billion, one hundred sixty million, eight hundred sixteen thousand, four hundred".