92116992000 has 960 divisors, whose sum is σ = 353317386240. Its totient is φ = 21102592000.

The previous prime is 92116991999. The next prime is 92116992031. The reversal of 92116992000 is 29961129.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 92116992000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1959935977 + ... + 1959936023.

It is an arithmetic number, because the mean of its divisors is an integer number (368038944).

Almost surely, 2^92116992000 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 92116992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176658693120).

92116992000 is an abundant number, since it is smaller than the sum of its proper divisors (261200394240).

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

92116992000 is a wasteful number, since it uses less digits than its factorization.

92116992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 92116992000 in words is "ninety-two billion, one hundred sixteen million, nine hundred ninety-two thousand".