92968888320000 has 3600 divisors, whose sum is σ = 433483335429760. Its totient is φ = 19269550080000.

The previous prime is 92968888319849. The next prime is 92968888320071. The reversal of 92968888320000 is 2388886929.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a self number, because there is not a number n which added to its sum of digits gives 92968888320000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 234178559802 + ... + 234178560198.

Almost surely, 2^{92968888320000} is an apocalyptic number.

92968888320000 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 92968888320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216741667714880).

92968888320000 is an abundant number, since it is smaller than the sum of its proper divisors (340514447109760).

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

92968888320000 is an equidigital number, since it uses as much as digits as its factorization.

92968888320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 92968888320000 in words is "ninety-two trillion, nine hundred sixty-eight billion, eight hundred eighty-eight million, three hundred twenty thousand".