90164229120 has 1056 divisors, whose sum is σ = 376699355136. Its totient is φ = 19508428800.

The previous prime is 90164229097. The next prime is 90164229209. The reversal of 90164229120 is 2192246109.

90164229120 is a `hidden beast` number, since 9 + 0 + 1 + 642 + 2 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 709954497 + ... + 709954623.

Almost surely, 2^90164229120 is an apocalyptic number.

90164229120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90164229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188349677568).

90164229120 is an abundant number, since it is smaller than the sum of its proper divisors (286535126016).

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

90164229120 is a wasteful number, since it uses less digits than its factorization.

90164229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 90164229120 in words is "ninety billion, one hundred sixty-four million, two hundred twenty-nine thousand, one hundred twenty".