90579191187840 has 512 divisors, whose sum is σ = 303192728778240. Its totient is φ = 22978965012480.

The previous prime is 90579191187809. The next prime is 90579191187907. The reversal of 90579191187840 is 4878119197509.

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, 571863855 + ... + 572022225.

It is an arithmetic number, because the mean of its divisors is an integer number (592173298395).

Almost surely, 2^{90579191187840} 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 90579191187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151596364389120).

90579191187840 is an abundant number, since it is smaller than the sum of its proper divisors (212613537590400).

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

90579191187840 is a wasteful number, since it uses less digits than its factorization.

90579191187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158610 (or 158598 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 69.

The spelling of 90579191187840 in words is "ninety trillion, five hundred seventy-nine billion, one hundred ninety-one million, one hundred eighty-seven thousand, eight hundred forty".