96780390336000 has 1920 divisors, whose sum is σ = 414375384563712. Its totient is φ = 21250252800000.

The previous prime is 96780390335971. The next prime is 96780390336073. The reversal of 96780390336000 is 63309308769.

96780390336000 is a `hidden beast` number, since 96 + 7 + 80 + 390 + 33 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10575931425 + ... + 10575940575.

Almost surely, 2^{96780390336000} is an apocalyptic number.

96780390336000 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 96780390336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207187692281856).

96780390336000 is an abundant number, since it is smaller than the sum of its proper divisors (317594994227712).

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

96780390336000 is a wasteful number, since it uses less digits than its factorization.

96780390336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9272 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 96780390336000 in words is "ninety-six trillion, seven hundred eighty billion, three hundred ninety million, three hundred thirty-six thousand".