90031742593920 has 2048 divisors, whose sum is σ = 348496183296000. Its totient is φ = 21908164608000.

The previous prime is 90031742593909. The next prime is 90031742593927. The reversal of 90031742593920 is 2939524713009.

90031742593920 is a `hidden beast` number, since 9 + 0 + 0 + 3 + 1 + 7 + 42 + 593 + 9 + 2 + 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 not an unprimeable number, because it can be changed into a prime (90031742593927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 166417268850 + ... + 166417269390.

It is an arithmetic number, because the mean of its divisors is an integer number (170164152000).

Almost surely, 2^{90031742593920} is an apocalyptic number.

90031742593920 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 90031742593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174248091648000).

90031742593920 is an abundant number, since it is smaller than the sum of its proper divisors (258464440702080).

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

90031742593920 is a wasteful number, since it uses less digits than its factorization.

90031742593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 90031742593920 in words is "ninety trillion, thirty-one billion, seven hundred forty-two million, five hundred ninety-three thousand, nine hundred twenty".