90422509731840 has 5120 divisors, whose sum is σ = 414366082099200. Its totient is φ = 18549728870400.

The previous prime is 90422509731821. The next prime is 90422509731889. The reversal of 90422509731840 is 4813790522409.

90422509731840 is a `hidden beast` number, since 9 + 0 + 4 + 22 + 509 + 7 + 31 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1706085089254 + ... + 1706085089306.

It is an arithmetic number, because the mean of its divisors is an integer number (80930875410).

Almost surely, 2^{90422509731840} is an apocalyptic number.

90422509731840 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 90422509731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207183041049600).

90422509731840 is an abundant number, since it is smaller than the sum of its proper divisors (323943572367360).

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

90422509731840 is a wasteful number, since it uses less digits than its factorization.

90422509731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 90422509731840 in words is "ninety trillion, four hundred twenty-two billion, five hundred nine million, seven hundred thirty-one thousand, eight hundred forty".