90719169280 has 288 divisors, whose sum is σ = 236641728960. Its totient is φ = 33204142080.

The previous prime is 90719169251. The next prime is 90719169283. The reversal of 90719169280 is 8296191709.

It is not an unprimeable number, because it can be changed into a prime (90719169283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162870762 + ... + 162871318.

It is an arithmetic number, because the mean of its divisors is an integer number (821672670).

Almost surely, 2^90719169280 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 90719169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320864480).

90719169280 is an abundant number, since it is smaller than the sum of its proper divisors (145922559680).

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

90719169280 is a wasteful number, since it uses less digits than its factorization.

90719169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 52.

The spelling of 90719169280 in words is "ninety billion, seven hundred nineteen million, one hundred sixty-nine thousand, two hundred eighty".