97995118602240 has 480 divisors, whose sum is σ = 353185993840680. Its totient is φ = 25987615948800.

The previous prime is 97995118602233. The next prime is 97995118602257. The reversal of 97995118602240 is 4220681159979.

97995118602240 is a `hidden beast` number, since 9 + 7 + 9 + 9 + 5 + 1 + 18 + 602 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28445923574784 + 69549195027456 = 5333472^2 + 8339616^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149802270 + ... + 150455010.

Almost surely, 2^{97995118602240} is an apocalyptic number.

97995118602240 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 97995118602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176592996920340).

97995118602240 is an abundant number, since it is smaller than the sum of its proper divisors (255190875238440).

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

97995118602240 is a wasteful number, since it uses less digits than its factorization.

97995118602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652961 (or 652932 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 97995118602240 in words is "ninety-seven trillion, nine hundred ninety-five billion, one hundred eighteen million, six hundred two thousand, two hundred forty".