97211764132800 has 672 divisors, whose sum is σ = 327761486208000. Its totient is φ = 25216358400000.

The previous prime is 97211764132783. The next prime is 97211764132841. The reversal of 97211764132800 is 823146711279.

It is a super-2 number, since 2×97211764132800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11435328550 + ... + 11435337050.

Almost surely, 2^{97211764132800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97211764132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163880743104000).

97211764132800 is an abundant number, since it is smaller than the sum of its proper divisors (230549722075200).

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

97211764132800 is a wasteful number, since it uses less digits than its factorization.

97211764132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 97211764132800 in words is "ninety-seven trillion, two hundred eleven billion, seven hundred sixty-four million, one hundred thirty-two thousand, eight hundred".