92125388160 has 1152 divisors, whose sum is σ = 385243840800. Its totient is φ = 20150747136.

The previous prime is 92125388153. The next prime is 92125388189. The reversal of 92125388160 is 6188352129.

92125388160 is a `hidden beast` number, since 92 + 1 + 25 + 388 + 160 = 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 143 ways as a sum of consecutive naturals, for example, 314420974 + ... + 314421266.

Almost surely, 2^92125388160 is an apocalyptic number.

92125388160 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 92125388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192621920400).

92125388160 is an abundant number, since it is smaller than the sum of its proper divisors (293118452640).

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

92125388160 is a wasteful number, since it uses less digits than its factorization.

92125388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 92125388160 in words is "ninety-two billion, one hundred twenty-five million, three hundred eighty-eight thousand, one hundred sixty".