96973564723200 has 1620 divisors, whose sum is σ = 394193181729984. Its totient is φ = 22747152384000.

The previous prime is 96973564723193. The next prime is 96973564723223. The reversal of 96973564723200 is 232746537969.

96973564723200 is a `hidden beast` number, since 9 + 6 + 9 + 7 + 356 + 4 + 72 + 3 + 200 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13827682894 + ... + 13827689906.

Almost surely, 2^{96973564723200} is an apocalyptic number.

96973564723200 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 96973564723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197096590864992).

96973564723200 is an abundant number, since it is smaller than the sum of its proper divisors (297219617006784).

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

96973564723200 is a wasteful number, since it uses less digits than its factorization.

96973564723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 96973564723200 in words is "ninety-six trillion, nine hundred seventy-three billion, five hundred sixty-four million, seven hundred twenty-three thousand, two hundred".