96830739532800 has 7392 divisors, whose sum is σ = 481749721377792. Its totient is φ = 18730002677760.

The previous prime is 96830739532789. The next prime is 96830739532829. The reversal of 96830739532800 is 823593703869.

96830739532800 is a `hidden beast` number, since 9 + 68 + 3 + 0 + 7 + 39 + 532 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1445234918367 + ... + 1445234918433.

Almost surely, 2^{96830739532800} is an apocalyptic number.

96830739532800 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 96830739532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240874860688896).

96830739532800 is an abundant number, since it is smaller than the sum of its proper divisors (384918981844992).

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

96830739532800 is a wasteful number, since it uses less digits than its factorization.

96830739532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 96830739532800 in words is "ninety-six trillion, eight hundred thirty billion, seven hundred thirty-nine million, five hundred thirty-two thousand, eight hundred".