90005619132 has 162 divisors, whose sum is σ = 270796298136. Its totient is φ = 25176191040.

The previous prime is 90005619113. The next prime is 90005619149. The reversal of 90005619132 is 23191650009.

90005619132 is a `hidden beast` number, since 9 + 0 + 0 + 0 + 5 + 619 + 1 + 32 = 666.

It is a super-2 number, since 2×90005619132² (a number of 23 digits) contains 22 as substring.

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 53 ways as a sum of consecutive naturals, for example, 675033 + ... + 797295.

Almost surely, 2^90005619132 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 90005619132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135398149068).

90005619132 is an abundant number, since it is smaller than the sum of its proper divisors (180790679004).

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

90005619132 is a wasteful number, since it uses less digits than its factorization.

90005619132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122321 (or 122292 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 90005619132 in words is "ninety billion, five million, six hundred nineteen thousand, one hundred thirty-two".