97349563872000 has 3456 divisors, whose sum is σ = 410007881687040. Its totient is φ = 21958410240000.

The previous prime is 97349563871977. The next prime is 97349563872047. The reversal of 97349563872000 is 27836594379.

97349563872000 is a `hidden beast` number, since 9 + 7 + 3 + 49 + 5 + 6 + 387 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 307096415842 + ... + 307096416158.

It is an arithmetic number, because the mean of its divisors is an integer number (118636539840).

Almost surely, 2^{97349563872000} is an apocalyptic number.

97349563872000 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 97349563872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205003940843520).

97349563872000 is an abundant number, since it is smaller than the sum of its proper divisors (312658317815040).

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

97349563872000 is a wasteful number, since it uses less digits than its factorization.

97349563872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 97349563872000 in words is "ninety-seven trillion, three hundred forty-nine billion, five hundred sixty-three million, eight hundred seventy-two thousand".