92116638814200 has 1536 divisors, whose sum is σ = 406235979233280. Its totient is φ = 16618291200000.

The previous prime is 92116638814163. The next prime is 92116638814219. The reversal of 92116638814200 is 241883661129.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28598768590 + ... + 28598771810.

It is an arithmetic number, because the mean of its divisors is an integer number (264476548980).

Almost surely, 2^{92116638814200} 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 92116638814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203117989616640).

92116638814200 is an abundant number, since it is smaller than the sum of its proper divisors (314119340419080).

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

92116638814200 is a wasteful number, since it uses less digits than its factorization.

92116638814200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 92116638814200 in words is "ninety-two trillion, one hundred sixteen billion, six hundred thirty-eight million, eight hundred fourteen thousand, two hundred".