97537388947200 has 324 divisors, whose sum is σ = 349446290880960. Its totient is φ = 25955662479360.

The previous prime is 97537388947157. The next prime is 97537388947277. The reversal of 97537388947200 is 274988373579.

97537388947200 is a `hidden beast` number, since 9 + 7 + 5 + 3 + 73 + 8 + 89 + 472 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25822804 + ... + 29357996.

Almost surely, 2^{97537388947200} is an apocalyptic number.

97537388947200 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 97537388947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174723145440480).

97537388947200 is an abundant number, since it is smaller than the sum of its proper divisors (251908901933760).

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

97537388947200 is a wasteful number, since it uses less digits than its factorization.

97537388947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535704 (or 3535682 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 97537388947200 in words is "ninety-seven trillion, five hundred thirty-seven billion, three hundred eighty-eight million, nine hundred forty-seven thousand, two hundred".