92122207303680 has 1152 divisors, whose sum is σ = 337036117017600. Its totient is φ = 24129139507200.

The previous prime is 92122207303673. The next prime is 92122207303699. The reversal of 92122207303680 is 8630370222129.

92122207303680 is a `hidden beast` number, since 9 + 212 + 2 + 2 + 0 + 73 + 0 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 41477804970 + ... + 41477807190.

It is an arithmetic number, because the mean of its divisors is an integer number (292566073800).

Almost surely, 2^{92122207303680} is an apocalyptic number.

92122207303680 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 92122207303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168518058508800).

92122207303680 is an abundant number, since it is smaller than the sum of its proper divisors (244913909713920).

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

92122207303680 is a wasteful number, since it uses less digits than its factorization.

92122207303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 92122207303680 in words is "ninety-two trillion, one hundred twenty-two billion, two hundred seven million, three hundred three thousand, six hundred eighty".