92007240480 has 288 divisors, whose sum is σ = 317375682624. Its totient is φ = 24271054848.

The previous prime is 92007240473. The next prime is 92007240497. The reversal of 92007240480 is 8404270029.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 56549427 + ... + 56551053.

It is an arithmetic number, because the mean of its divisors is an integer number (1101998898).

Almost surely, 2^92007240480 is an apocalyptic number.

92007240480 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 92007240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158687841312).

92007240480 is an abundant number, since it is smaller than the sum of its proper divisors (225368442144).

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

92007240480 is a wasteful number, since it uses less digits than its factorization.

92007240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 92007240480 in words is "ninety-two billion, seven million, two hundred forty thousand, four hundred eighty".