97880334206400 has 168 divisors, whose sum is σ = 356810070315440. Its totient is φ = 26101422443520.

The previous prime is 97880334206377. The next prime is 97880334206419. The reversal of 97880334206400 is 460243308879.

97880334206400 is a `hidden beast` number, since 9 + 78 + 80 + 33 + 420 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 1132831039 + ... + 1132917438.

Almost surely, 2^{97880334206400} is an apocalyptic number.

97880334206400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97880334206400 is an abundant number, since it is smaller than the sum of its proper divisors (258929736109040).

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

97880334206400 is a wasteful number, since it uses less digits than its factorization.

97880334206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265748508 (or 2265748487 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 97880334206400 in words is "ninety-seven trillion, eight hundred eighty billion, three hundred thirty-four million, two hundred six thousand, four hundred".