92319252480 has 960 divisors, whose sum is σ = 403055452800. Its totient is φ = 19025362944.

The previous prime is 92319252479. The next prime is 92319252499. The reversal of 92319252480 is 8425291329.

92319252480 is a `hidden beast` number, since 9 + 2 + 31 + 92 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2146959339 + ... + 2146959381.

It is an arithmetic number, because the mean of its divisors is an integer number (419849430).

Almost surely, 2^92319252480 is an apocalyptic number.

92319252480 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 92319252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201527726400).

92319252480 is an abundant number, since it is smaller than the sum of its proper divisors (310736200320).

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

92319252480 is an equidigital number, since it uses as much as digits as its factorization.

92319252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 92319252480 in words is "ninety-two billion, three hundred nineteen million, two hundred fifty-two thousand, four hundred eighty".