90891087360 has 640 divisors, whose sum is σ = 321305149440. Its totient is φ = 21830860800.

The previous prime is 90891087271. The next prime is 90891087373. The reversal of 90891087360 is 6378019809.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×90891087360² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321169779 + ... + 321170061.

It is an arithmetic number, because the mean of its divisors is an integer number (502039296).

Almost surely, 2^90891087360 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 90891087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160652574720).

90891087360 is an abundant number, since it is smaller than the sum of its proper divisors (230414062080).

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

90891087360 is a wasteful number, since it uses less digits than its factorization.

90891087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 90891087360 in words is "ninety billion, eight hundred ninety-one million, eighty-seven thousand, three hundred sixty".