96292422420480 has 2304 divisors, whose sum is σ = 410590730833920. Its totient is φ = 20537317785600.

The previous prime is 96292422420473. The next prime is 96292422420517. The reversal of 96292422420480 is 8402422429269.

96292422420480 is a `hidden beast` number, since 9 + 6 + 2 + 9 + 2 + 422 + 4 + 204 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148829091517 + ... + 148829092163.

It is an arithmetic number, because the mean of its divisors is an integer number (178207782480).

Almost surely, 2^{96292422420480} is an apocalyptic number.

96292422420480 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 96292422420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205295365416960).

96292422420480 is an abundant number, since it is smaller than the sum of its proper divisors (314298308413440).

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

96292422420480 is a wasteful number, since it uses less digits than its factorization.

96292422420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 96292422420480 in words is "ninety-six trillion, two hundred ninety-two billion, four hundred twenty-two million, four hundred twenty thousand, four hundred eighty".