90908776988672 has 152 divisors (see below), whose sum is σ = 191582648677200. Its totient is φ = 43017931063296.

The previous prime is 90908776988599. The next prime is 90908776988713. The reversal of 90908776988672 is 27688967780909.

It is a tau number, because it is divible by the number of its divisors (152).

It is a super-3 number, since 3×90908776988672³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5145091454 + ... + 5145109122.

It is an arithmetic number, because the mean of its divisors is an integer number (1260412162350).

Almost surely, 2^{90908776988672} 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 90908776988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95791324338600).

90908776988672 is an abundant number, since it is smaller than the sum of its proper divisors (100673871688528).

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

90908776988672 is an equidigital number, since it uses as much as digits as its factorization.

90908776988672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18757 (or 18723 counting only the distinct ones).

The product of its (nonzero) digits is 9217732608, while the sum is 86.

The spelling of 90908776988672 in words is "ninety trillion, nine hundred eight billion, seven hundred seventy-six million, nine hundred eighty-eight thousand, six hundred seventy-two".