20994590975904 has 1344 divisors, whose sum is σ = 80672780563200. Its totient is φ = 5220407771136.

The previous prime is 20994590975867. The next prime is 20994590975951. The reversal of 20994590975904 is 40957909549902.

20994590975904 is a `hidden beast` number, since 20 + 9 + 9 + 4 + 5 + 9 + 0 + 9 + 7 + 590 + 4 = 666.

It is a super-2 number, since 2×20994590975904² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 9236510512 + ... + 9236512784.

It is an arithmetic number, because the mean of its divisors is an integer number (60024390300).

Almost surely, 2^{20994590975904} is an apocalyptic number.

20994590975904 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 20994590975904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40336390281600).

20994590975904 is an abundant number, since it is smaller than the sum of its proper divisors (59678189587296).

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

20994590975904 is a wasteful number, since it uses less digits than its factorization.

20994590975904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 20994590975904 in words is "twenty trillion, nine hundred ninety-four billion, five hundred ninety million, nine hundred seventy-five thousand, nine hundred four".