96197635635840 has 1024 divisors, whose sum is σ = 355377217536000. Its totient is φ = 24565988966400.

The previous prime is 96197635635719. The next prime is 96197635635883. The reversal of 96197635635840 is 4853653679169.

96197635635840 is a `hidden beast` number, since 9 + 6 + 1 + 9 + 7 + 6 + 3 + 563 + 58 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29865765430 + ... + 29865768650.

It is an arithmetic number, because the mean of its divisors is an integer number (347048064000).

Almost surely, 2^{96197635635840} is an apocalyptic number.

96197635635840 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 96197635635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177688608768000).

96197635635840 is an abundant number, since it is smaller than the sum of its proper divisors (259179581900160).

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

96197635635840 is a wasteful number, since it uses less digits than its factorization.

96197635635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 96197635635840 in words is "ninety-six trillion, one hundred ninety-seven billion, six hundred thirty-five million, six hundred thirty-five thousand, eight hundred forty".