20590730913024 has 432 divisors, whose sum is σ = 63863765521920. Its totient is φ = 6357261680640.

The previous prime is 20590730912953. The next prime is 20590730913029. The reversal of 20590730913024 is 42031903709502.

20590730913024 is a `hidden beast` number, since 2 + 0 + 590 + 7 + 3 + 0 + 9 + 1 + 30 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20590730913029) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 962307894 + ... + 962329290.

It is an arithmetic number, because the mean of its divisors is an integer number (147832790560).

Almost surely, 2^{20590730913024} is an apocalyptic number.

20590730913024 is a gapful number since it is divisible by the number (24) 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 20590730913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31931882760960).

20590730913024 is an abundant number, since it is smaller than the sum of its proper divisors (43273034608896).

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

20590730913024 is a wasteful number, since it uses less digits than its factorization.

20590730913024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20590730913024 in words is "twenty trillion, five hundred ninety billion, seven hundred thirty million, nine hundred thirteen thousand, twenty-four".