90831409845120 has 512 divisors, whose sum is σ = 370904548608000. Its totient is φ = 20577732231168.

The previous prime is 90831409845109. The next prime is 90831409845149. The reversal of 90831409845120 is 2154890413809.

It is a happy number.

90831409845120 is a `hidden beast` number, since 9 + 0 + 8 + 3 + 1 + 40 + 9 + 84 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10345821 + ... + 16991139.

It is an arithmetic number, because the mean of its divisors is an integer number (724422946500).

Almost surely, 2^{90831409845120} is an apocalyptic number.

90831409845120 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 90831409845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185452274304000).

90831409845120 is an abundant number, since it is smaller than the sum of its proper divisors (280073138762880).

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

90831409845120 is a wasteful number, since it uses less digits than its factorization.

90831409845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645467 (or 6645449 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 90831409845120 in words is "ninety trillion, eight hundred thirty-one billion, four hundred nine million, eight hundred forty-five thousand, one hundred twenty".