97997689036800 has 1680 divisors, whose sum is σ = 436736488415040. Its totient is φ = 21220074455040.

The previous prime is 97997689036799. The next prime is 97997689036813. The reversal of 97997689036800 is 863098679979.

97997689036800 is a `hidden beast` number, since 97 + 9 + 97 + 6 + 89 + 0 + 368 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 97997689036800.

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 119 ways as a sum of consecutive naturals, for example, 2206288192 + ... + 2206332608.

Almost surely, 2^{97997689036800} is an apocalyptic number.

97997689036800 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 97997689036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218368244207520).

97997689036800 is an abundant number, since it is smaller than the sum of its proper divisors (338738799378240).

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

97997689036800 is a wasteful number, since it uses less digits than its factorization.

97997689036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44491 (or 44453 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 97997689036800 in words is "ninety-seven trillion, nine hundred ninety-seven billion, six hundred eighty-nine million, thirty-six thousand, eight hundred".