20681762603904 has 256 divisors, whose sum is σ = 63325647360000. Its totient is φ = 6638004172800.

The previous prime is 20681762603833. The next prime is 20681762603969. The reversal of 20681762603904 is 40930626718602.

20681762603904 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 1 + 7 + 626 + 0 + 3 + 9 + 0 + 4 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 20835034 + ... + 21805094.

It is an arithmetic number, because the mean of its divisors is an integer number (247365810000).

Almost surely, 2^{20681762603904} is an apocalyptic number.

20681762603904 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 20681762603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31662823680000).

20681762603904 is an abundant number, since it is smaller than the sum of its proper divisors (42643884756096).

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

20681762603904 is a wasteful number, since it uses less digits than its factorization.

20681762603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970314 (or 970296 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20681762603904 in words is "twenty trillion, six hundred eighty-one billion, seven hundred sixty-two million, six hundred three thousand, nine hundred four".