90969608808960 has 2560 divisors, whose sum is σ = 370157108428800. Its totient is φ = 18597292277760.

The previous prime is 90969608808917. The next prime is 90969608808983. The reversal of 90969608808960 is 6980880696909.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 222419581236 + ... + 222419581644.

It is an arithmetic number, because the mean of its divisors is an integer number (144592620480).

Almost surely, 2^{90969608808960} 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 90969608808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185078554214400).

90969608808960 is an abundant number, since it is smaller than the sum of its proper divisors (279187499619840).

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

90969608808960 is a wasteful number, since it uses less digits than its factorization.

90969608808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 78.

The spelling of 90969608808960 in words is "ninety trillion, nine hundred sixty-nine billion, six hundred eight million, eight hundred eight thousand, nine hundred sixty".