97657533353160 has 384 divisors, whose sum is σ = 367242938899200. Its totient is φ = 22243307028480.

The previous prime is 97657533353147. The next prime is 97657533353197. The reversal of 97657533353160 is 6135333575679.

97657533353160 is a `hidden beast` number, since 9 + 7 + 6 + 5 + 7 + 5 + 3 + 33 + 531 + 60 = 666.

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, 37586581 + ... + 40100699.

It is an arithmetic number, because the mean of its divisors is an integer number (956361820050).

Almost surely, 2^{97657533353160} is an apocalyptic number.

97657533353160 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 97657533353160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183621469449600).

97657533353160 is an abundant number, since it is smaller than the sum of its proper divisors (269585405546040).

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

97657533353160 is a wasteful number, since it uses less digits than its factorization.

97657533353160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514741 (or 2514734 counting only the distinct ones).

The product of its (nonzero) digits is 160744500, while the sum is 63.

The spelling of 97657533353160 in words is "ninety-seven trillion, six hundred fifty-seven billion, five hundred thirty-three million, three hundred fifty-three thousand, one hundred sixty".