92107549948680 has 480 divisors, whose sum is σ = 360181810296000. Its totient is φ = 21050007922944.

The previous prime is 92107549948639. The next prime is 92107549948723. The reversal of 92107549948680 is 8684994570129.

92107549948680 is a `hidden beast` number, since 9 + 2 + 1 + 0 + 7 + 54 + 99 + 486 + 8 + 0 = 666.

It is a super-3 number, since 3×92107549948680³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 92107549948599 and 92107549948608.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1160019621 + ... + 1160099019.

It is an arithmetic number, because the mean of its divisors is an integer number (750378771450).

Almost surely, 2^{92107549948680} is an apocalyptic number.

92107549948680 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 92107549948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180090905148000).

92107549948680 is an abundant number, since it is smaller than the sum of its proper divisors (268074260347320).

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

92107549948680 is a wasteful number, since it uses less digits than its factorization.

92107549948680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86743 (or 86723 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 92107549948680 in words is "ninety-two trillion, one hundred seven billion, five hundred forty-nine million, nine hundred forty-eight thousand, six hundred eighty".