20968494805440 has 5376 divisors, whose sum is σ = 103039215206400. Its totient is φ = 3961743851520.

The previous prime is 20968494805373. The next prime is 20968494805567. The reversal of 20968494805440 is 4450849486902.

20968494805440 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 8 + 4 + 9 + 4 + 80 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 487639414059 + ... + 487639414101.

Almost surely, 2^{20968494805440} is an apocalyptic number.

20968494805440 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 20968494805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51519607603200).

20968494805440 is an abundant number, since it is smaller than the sum of its proper divisors (82070720400960).

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

20968494805440 is a wasteful number, since it uses less digits than its factorization.

20968494805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 20968494805440 in words is "twenty trillion, nine hundred sixty-eight billion, four hundred ninety-four million, eight hundred five thousand, four hundred forty".