90080854128 has 120 divisors (see below), whose sum is σ = 254914303488. Its totient is φ = 29693454336.

The previous prime is 90080854109. The next prime is 90080854169. The reversal of 90080854128 is 82145808009.

It is a happy number.

90080854128 is a `hidden beast` number, since 9 + 0 + 0 + 80 + 8 + 541 + 28 = 666.

It is a super-2 number, since 2×90080854128² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 5716276 + ... + 5732012.

Almost surely, 2^90080854128 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 90080854128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127457151744).

90080854128 is an abundant number, since it is smaller than the sum of its proper divisors (164833449360).

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

90080854128 is a wasteful number, since it uses less digits than its factorization.

90080854128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16191 (or 16182 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 90080854128 in words is "ninety billion, eighty million, eight hundred fifty-four thousand, one hundred twenty-eight".