90119770272 has 288 divisors, whose sum is σ = 299117774592. Its totient is φ = 25203290112.

The previous prime is 90119770267. The next prime is 90119770289. The reversal of 90119770272 is 27207791109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65924533 + ... + 65925899.

It is an arithmetic number, because the mean of its divisors is an integer number (1038603384).

Almost surely, 2^90119770272 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 90119770272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149558887296).

90119770272 is an abundant number, since it is smaller than the sum of its proper divisors (208998004320).

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

90119770272 is a wasteful number, since it uses less digits than its factorization.

90119770272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 90119770272 in words is "ninety billion, one hundred nineteen million, seven hundred seventy thousand, two hundred seventy-two".