97960955499888 has 640 divisors, whose sum is σ = 301560165580800. Its totient is φ = 27112782495744.

The previous prime is 97960955499881. The next prime is 97960955499923. The reversal of 97960955499888 is 88899455906979.

It is a happy number.

97960955499888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 97960955499795 and 97960955499804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97960955499881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27524852253 + ... + 27524855811.

It is an arithmetic number, because the mean of its divisors is an integer number (471187758720).

Almost surely, 2^{97960955499888} 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 97960955499888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150780082790400).

97960955499888 is an abundant number, since it is smaller than the sum of its proper divisors (203599210080912).

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

97960955499888 is a wasteful number, since it uses less digits than its factorization.

97960955499888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 126978969600, while the sum is 96.

The spelling of 97960955499888 in words is "ninety-seven trillion, nine hundred sixty billion, nine hundred fifty-five million, four hundred ninety-nine thousand, eight hundred eighty-eight".