96557853168000 has 2048 divisors, whose sum is σ = 436599820800000. Its totient is φ = 20908158566400.

The previous prime is 96557853167969. The next prime is 96557853168059. The reversal of 96557853168000 is 86135875569.

96557853168000 is a `hidden beast` number, since 9 + 6 + 5 + 578 + 53 + 1 + 6 + 8 + 0 + 0 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 2815326852 + ... + 2815361148.

It is an arithmetic number, because the mean of its divisors is an integer number (213183506250).

Almost surely, 2^{96557853168000} is an apocalyptic number.

96557853168000 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 96557853168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218299910400000).

96557853168000 is an abundant number, since it is smaller than the sum of its proper divisors (340041967632000).

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

96557853168000 is a wasteful number, since it uses less digits than its factorization.

96557853168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34375 (or 34333 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 96557853168000 in words is "ninety-six trillion, five hundred fifty-seven billion, eight hundred fifty-three million, one hundred sixty-eight thousand".