97657553836800 has 4536 divisors, whose sum is σ = 416392140197376. Its totient is φ = 22603182243840.

The previous prime is 97657553836751. The next prime is 97657553836807. The reversal of 97657553836800 is 863835575679.

97657553836800 is a `hidden beast` number, since 9 + 7 + 6 + 5 + 7 + 5 + 538 + 3 + 6 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (97657553836807) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1457575430367 + ... + 1457575430433.

Almost surely, 2^{97657553836800} is an apocalyptic number.

97657553836800 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 97657553836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208196070098688).

97657553836800 is an abundant number, since it is smaller than the sum of its proper divisors (318734586360576).

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

97657553836800 is a wasteful number, since it uses less digits than its factorization.

97657553836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 97657553836800 in words is "ninety-seven trillion, six hundred fifty-seven billion, five hundred fifty-three million, eight hundred thirty-six thousand, eight hundred".