92106871920 has 720 divisors, whose sum is σ = 369700051968. Its totient is φ = 20483850240.

The previous prime is 92106871873. The next prime is 92106871921. The reversal of 92106871920 is 2917860129.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92106871921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 273313992 + ... + 273314328.

Almost surely, 2^92106871920 is an apocalyptic number.

92106871920 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 92106871920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184850025984).

92106871920 is an abundant number, since it is smaller than the sum of its proper divisors (277593180048).

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

92106871920 is a wasteful number, since it uses less digits than its factorization.

92106871920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 92106871920 in words is "ninety-two billion, one hundred six million, eight hundred seventy-one thousand, nine hundred twenty".