97954094592000 has 1248 divisors, whose sum is σ = 364402476622080. Its totient is φ = 25298848972800.

The previous prime is 97954094591939. The next prime is 97954094592023. The reversal of 97954094592000 is 29549045979.

97954094592000 is a `hidden beast` number, since 97 + 95 + 4 + 0 + 9 + 459 + 2 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19293693462 + ... + 19293698538.

It is an arithmetic number, because the mean of its divisors is an integer number (291989163960).

Almost surely, 2^{97954094592000} is an apocalyptic number.

97954094592000 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 97954094592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182201238311040).

97954094592000 is an abundant number, since it is smaller than the sum of its proper divisors (266448382030080).

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

97954094592000 is a wasteful number, since it uses less digits than its factorization.

97954094592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 97954094592000 in words is "ninety-seven trillion, nine hundred fifty-four billion, ninety-four million, five hundred ninety-two thousand".