90091177860 has 192 divisors, whose sum is σ = 277418131200. Its totient is φ = 21756672000.

The previous prime is 90091177829. The next prime is 90091177861. The reversal of 90091177860 is 6877119009.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90091177861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3325570 + ... + 3352550.

It is an arithmetic number, because the mean of its divisors is an integer number (1444886100).

Almost surely, 2^90091177860 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 90091177860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138709065600).

90091177860 is an abundant number, since it is smaller than the sum of its proper divisors (187326953340).

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

90091177860 is a wasteful number, since it uses less digits than its factorization.

90091177860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27142 (or 27140 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 48.

The spelling of 90091177860 in words is "ninety billion, ninety-one million, one hundred seventy-seven thousand, eight hundred sixty".