96107861836800 has 660 divisors, whose sum is σ = 388228578680976. Its totient is φ = 23298870067200.

The previous prime is 96107861836793. The next prime is 96107861836901. The reversal of 96107861836800 is 863816870169.

96107861836800 is a `hidden beast` number, since 9 + 6 + 1 + 0 + 7 + 8 + 618 + 3 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (660).

It is a super-2 number, since 2×96107861836800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20702859 + ... + 24916341.

Almost surely, 2^{96107861836800} is an apocalyptic number.

96107861836800 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 96107861836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194114289340488).

96107861836800 is an abundant number, since it is smaller than the sum of its proper divisors (292120716844176).

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

96107861836800 is a wasteful number, since it uses less digits than its factorization.

96107861836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213536 (or 4213504 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 96107861836800 in words is "ninety-six trillion, one hundred seven billion, eight hundred sixty-one million, eight hundred thirty-six thousand, eight hundred".