20504334090240 has 4200 divisors, whose sum is σ = 101118468660048. Its totient is φ = 3932899246080.

The previous prime is 20504334090223. The next prime is 20504334090263. The reversal of 20504334090240 is 4209043340502.

20504334090240 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 4 + 3 + 3 + 409 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20504334090195 and 20504334090204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 1577256468474 + ... + 1577256468486.

Almost surely, 2^{20504334090240} is an apocalyptic number.

20504334090240 is a gapful number since it is divisible by the number (20) 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 20504334090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50559234330024).

20504334090240 is an abundant number, since it is smaller than the sum of its proper divisors (80614134569808).

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

20504334090240 is an frugal number, since it uses more digits than its factorization.

20504334090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20504334090240 in words is "twenty trillion, five hundred four billion, three hundred thirty-four million, ninety thousand, two hundred forty".