90818739892080 has 640 divisors, whose sum is σ = 321854230010880. Its totient is φ = 23524300800000.

The previous prime is 90818739892073. The next prime is 90818739892087. The reversal of 90818739892080 is 8029893781809.

90818739892080 is a `hidden beast` number, since 9 + 0 + 81 + 87 + 398 + 9 + 2 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (90818739892073) and next prime (90818739892087).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90818739892087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27935630455 + ... + 27935633705.

It is an arithmetic number, because the mean of its divisors is an integer number (502897234392).

Almost surely, 2^{90818739892080} is an apocalyptic number.

90818739892080 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 90818739892080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160927115005440).

90818739892080 is an abundant number, since it is smaller than the sum of its proper divisors (231035490118800).

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

90818739892080 is a wasteful number, since it uses less digits than its factorization.

90818739892080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 90818739892080 in words is "ninety trillion, eight hundred eighteen billion, seven hundred thirty-nine million, eight hundred ninety-two thousand, eighty".