96883080793200 has 1200 divisors, whose sum is σ = 378587877012576. Its totient is φ = 23585690419200.

The previous prime is 96883080793091. The next prime is 96883080793211. The reversal of 96883080793200 is 239708038869.

96883080793200 is a `hidden beast` number, since 96 + 8 + 83 + 0 + 80 + 79 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24797305647 + ... + 24797309553.

Almost surely, 2^{96883080793200} is an apocalyptic number.

96883080793200 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 96883080793200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189293938506288).

96883080793200 is an abundant number, since it is smaller than the sum of its proper divisors (281704796219376).

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

96883080793200 is a wasteful number, since it uses less digits than its factorization.

96883080793200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 96883080793200 in words is "ninety-six trillion, eight hundred eighty-three billion, eighty million, seven hundred ninety-three thousand, two hundred".