97600953600 has 324 divisors, whose sum is σ = 349736013900. Its totient is φ = 25967984640.

The previous prime is 97600953577. The next prime is 97600953677. The reversal of 97600953600 is 635900679.

97600953600 is a `hidden beast` number, since 9 + 7 + 600 + 9 + 5 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 77158656 + 97523794944 = 8784^2 + 312288^2 .

It is a super-2 number, since 2×97600953600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29316736 + ... + 29320064.

Almost surely, 2^97600953600 is an apocalyptic number.

97600953600 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 97600953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174868006950).

97600953600 is an abundant number, since it is smaller than the sum of its proper divisors (252135060300).

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

97600953600 is a wasteful number, since it uses less digits than its factorization.

97600953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 97600953600 in words is "ninety-seven billion, six hundred million, nine hundred fifty-three thousand, six hundred".