90841301760 has 432 divisors, whose sum is σ = 320865828192. Its totient is φ = 21886402560.

The previous prime is 90841301741. The next prime is 90841301777. The reversal of 90841301760 is 6710314809.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89675014 + ... + 89676026.

Almost surely, 2^90841301760 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 90841301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160432914096).

90841301760 is an abundant number, since it is smaller than the sum of its proper divisors (230024526432).

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

90841301760 is a wasteful number, since it uses less digits than its factorization.

90841301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 90841301760 in words is "ninety billion, eight hundred forty-one million, three hundred one thousand, seven hundred sixty".