96814553996160 has 5120 divisors, whose sum is σ = 496128589608960. Its totient is φ = 17458212372480.

The previous prime is 96814553996141. The next prime is 96814553996221. The reversal of 96814553996160 is 6169935541869.

96814553996160 is a `hidden beast` number, since 9 + 6 + 8 + 1 + 4 + 553 + 9 + 9 + 6 + 1 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 106741514427 + ... + 106741515333.

It is an arithmetic number, because the mean of its divisors is an integer number (96900115158).

Almost surely, 2^{96814553996160} is an apocalyptic number.

96814553996160 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 96814553996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248064294804480).

96814553996160 is an abundant number, since it is smaller than the sum of its proper divisors (399314035612800).

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

96814553996160 is a wasteful number, since it uses less digits than its factorization.

96814553996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 96814553996160 in words is "ninety-six trillion, eight hundred fourteen billion, five hundred fifty-three million, nine hundred ninety-six thousand, one hundred sixty".