20520865944000 has 1400 divisors, whose sum is σ = 80463485298768. Its totient is φ = 5184218764800.

The previous prime is 20520865943881. The next prime is 20520865944001. The reversal of 20520865944000 is 44956802502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20520865944000 is a `hidden beast` number, since 2 + 0 + 52 + 0 + 8 + 6 + 594 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20520865944000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 20520865944000 = 3420³ + 27360³ = 15390³ + 25650³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20520865944001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1080045575991 + ... + 1080045576009.

Almost surely, 2^{20520865944000} is an apocalyptic number.

20520865944000 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 20520865944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40231742649384).

20520865944000 is an abundant number, since it is smaller than the sum of its proper divisors (59942619354768).

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

20520865944000 is an frugal number, since it uses more digits than its factorization.

20520865944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 20520865944000 in words is "twenty trillion, five hundred twenty billion, eight hundred sixty-five million, nine hundred forty-four thousand".