97355655936 has 864 divisors, whose sum is σ = 367331328000. Its totient is φ = 24060395520.

The previous prime is 97355655931. The next prime is 97355655937. The reversal of 97355655936 is 63955655379.

97355655936 is a `hidden beast` number, since 9 + 7 + 35 + 5 + 6 + 5 + 593 + 6 = 666.

It is a super-3 number, since 3×97355655936³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97355655931) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 653393590 + ... + 653393738.

It is an arithmetic number, because the mean of its divisors is an integer number (425152000).

Almost surely, 2^97355655936 is an apocalyptic number.

97355655936 is a gapful number since it is divisible by the number (96) 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 97355655936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664000).

97355655936 is an abundant number, since it is smaller than the sum of its proper divisors (269975672064).

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

97355655936 is a wasteful number, since it uses less digits than its factorization.

97355655936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its digits is 114817500, while the sum is 63.

The spelling of 97355655936 in words is "ninety-seven billion, three hundred fifty-five million, six hundred fifty-five thousand, nine hundred thirty-six".