96919649280000 has 2800 divisors, whose sum is σ = 391263601631760. Its totient is φ = 23810015232000.

The previous prime is 96919649279977. The next prime is 96919649280011. The reversal of 96919649280000 is 8294691969.

96919649280000 is a `hidden beast` number, since 9 + 69 + 1 + 9 + 6 + 492 + 80 + 0 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96919649280000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 415964159884 + ... + 415964160116.

Almost surely, 2^{96919649280000} is an apocalyptic number.

96919649280000 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 96919649280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195631800815880).

96919649280000 is an abundant number, since it is smaller than the sum of its proper divisors (294343952351760).

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

96919649280000 is an equidigital number, since it uses as much as digits as its factorization.

96919649280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 96919649280000 in words is "ninety-six trillion, nine hundred nineteen billion, six hundred forty-nine million, two hundred eighty thousand".