97794945682560 has 512 divisors, whose sum is σ = 419121204595200. Its totient is φ = 21038239973376.

The previous prime is 97794945682501. The next prime is 97794945682561. The reversal of 97794945682560 is 6528654949779.

It is a happy number.

97794945682560 is a `hidden beast` number, since 9 + 7 + 7 + 9 + 4 + 9 + 45 + 6 + 8 + 2 + 560 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 97794945682560.

It is not an unprimeable number, because it can be changed into a prime (97794945682561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21722797 + ... + 25835436.

It is an arithmetic number, because the mean of its divisors is an integer number (818596102725).

Almost surely, 2^{97794945682560} is an apocalyptic number.

97794945682560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97794945682560 is an abundant number, since it is smaller than the sum of its proper divisors (321326258912640).

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

97794945682560 is a wasteful number, since it uses less digits than its factorization.

97794945682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47558285 (or 47558267 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 97794945682560 in words is "ninety-seven trillion, seven hundred ninety-four billion, nine hundred forty-five million, six hundred eighty-two thousand, five hundred sixty".