96890465280000 has 2240 divisors, whose sum is σ = 390707781488640. Its totient is φ = 20879769600000.

The previous prime is 96890465279987. The next prime is 96890465280137. The reversal of 96890465280000 is 8256409869.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136657919646 + ... + 136657920354.

It is an arithmetic number, because the mean of its divisors is an integer number (174423116736).

Almost surely, 2^{96890465280000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96890465280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195353890744320).

96890465280000 is an abundant number, since it is smaller than the sum of its proper divisors (293817316208640).

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

96890465280000 is an equidigital number, since it uses as much as digits as its factorization.

96890465280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 96890465280000 in words is "ninety-six trillion, eight hundred ninety billion, four hundred sixty-five million, two hundred eighty thousand".