96136085606400 has 3120 divisors, whose sum is σ = 434185018844544. Its totient is φ = 20525308968960.

The previous prime is 96136085606321. The next prime is 96136085606441. The reversal of 96136085606400 is 460658063169.

96136085606400 is a `hidden beast` number, since 9 + 6 + 1 + 36 + 0 + 8 + 560 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 170756812519 + ... + 170756813081.

Almost surely, 2^{96136085606400} is an apocalyptic number.

96136085606400 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 96136085606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217092509422272).

96136085606400 is an abundant number, since it is smaller than the sum of its proper divisors (338048933238144).

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

96136085606400 is a wasteful number, since it uses less digits than its factorization.

96136085606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 96136085606400 in words is "ninety-six trillion, one hundred thirty-six billion, eighty-five million, six hundred six thousand, four hundred".