97947394560000 has 1040 divisors, whose sum is σ = 372417706936000. Its totient is φ = 25412714496000.

The previous prime is 97947394559977. The next prime is 97947394560011. The reversal of 97947394560000 is 6549374979.

97947394560000 is a `hidden beast` number, since 9 + 79 + 473 + 94 + 5 + 6 + 0 + 0 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 97947394560000.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2557420851 + ... + 2557459149.

Almost surely, 2^{97947394560000} is an apocalyptic number.

97947394560000 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 97947394560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186208853468000).

97947394560000 is an abundant number, since it is smaller than the sum of its proper divisors (274470312376000).

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

97947394560000 is an equidigital number, since it uses as much as digits as its factorization.

97947394560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38389 (or 38346 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 97947394560000 in words is "ninety-seven trillion, nine hundred forty-seven billion, three hundred ninety-four million, five hundred sixty thousand".