97362968371200 has 6720 divisors, whose sum is σ = 473466481348608. Its totient is φ = 19263179980800.

The previous prime is 97362968371189. The next prime is 97362968371219. The reversal of 97362968371200 is 217386926379.

97362968371200 is a `hidden beast` number, since 9 + 7 + 36 + 29 + 6 + 8 + 371 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-2 number, since 2×97362968371200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2264255078379 + ... + 2264255078421.

Almost surely, 2^{97362968371200} is an apocalyptic number.

97362968371200 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 97362968371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236733240674304).

97362968371200 is an abundant number, since it is smaller than the sum of its proper divisors (376103512977408).

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

97362968371200 is a wasteful number, since it uses less digits than its factorization.

97362968371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 97362968371200 in words is "ninety-seven trillion, three hundred sixty-two billion, nine hundred sixty-eight million, three hundred seventy-one thousand, two hundred".