97755677630352 has 640 divisors, whose sum is σ = 342798859468800. Its totient is φ = 26035558907904.

The previous prime is 97755677630321. The next prime is 97755677630353. The reversal of 97755677630352 is 25303677655779.

It is a happy number.

97755677630352 is a `hidden beast` number, since 9 + 7 + 7 + 5 + 567 + 7 + 6 + 3 + 0 + 3 + 52 = 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 (97755677630353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9102860599 + ... + 9102871337.

It is an arithmetic number, because the mean of its divisors is an integer number (535623217920).

Almost surely, 2^{97755677630352} 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 97755677630352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171399429734400).

97755677630352 is an abundant number, since it is smaller than the sum of its proper divisors (245043181838448).

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

97755677630352 is a wasteful number, since it uses less digits than its factorization.

97755677630352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 1750329000, while the sum is 72.

The spelling of 97755677630352 in words is "ninety-seven trillion, seven hundred fifty-five billion, six hundred seventy-seven million, six hundred thirty thousand, three hundred fifty-two".