20966924845440 has 1152 divisors, whose sum is σ = 89139624837120. Its totient is φ = 4446827642880.

The previous prime is 20966924845411. The next prime is 20966924845487. The reversal of 20966924845440 is 4454842966902.

20966924845440 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 6 + 9 + 2 + 4 + 84 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×20966924845440² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 827313409 + ... + 827338751.

It is an arithmetic number, because the mean of its divisors is an integer number (77378146560).

Almost surely, 2^{20966924845440} is an apocalyptic number.

20966924845440 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 20966924845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44569812418560).

20966924845440 is an abundant number, since it is smaller than the sum of its proper divisors (68172699991680).

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

20966924845440 is a wasteful number, since it uses less digits than its factorization.

20966924845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25480 (or 25448 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 20966924845440 in words is "twenty trillion, nine hundred sixty-six billion, nine hundred twenty-four million, eight hundred forty-five thousand, four hundred forty".