90889341477120 has 1008 divisors, whose sum is σ = 330693729405312. Its totient is φ = 23920956702720.

The previous prime is 90889341477083. The next prime is 90889341477157. The reversal of 90889341477120 is 2177414398809.

90889341477120 is a `hidden beast` number, since 9 + 0 + 8 + 8 + 9 + 34 + 1 + 477 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (90889341477083) and next prime (90889341477157).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 31812858732 + ... + 31812861588.

Almost surely, 2^{90889341477120} is an apocalyptic number.

90889341477120 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 90889341477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165346864702656).

90889341477120 is an abundant number, since it is smaller than the sum of its proper divisors (239804387928192).

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

90889341477120 is a wasteful number, since it uses less digits than its factorization.

90889341477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 90889341477120 in words is "ninety trillion, eight hundred eighty-nine billion, three hundred forty-one million, four hundred seventy-seven thousand, one hundred twenty".