20909953132800 has 432 divisors, whose sum is σ = 70380452862720. Its totient is φ = 5465238405120.

The previous prime is 20909953132787. The next prime is 20909953132811. The reversal of 20909953132800 is 823135990902.

It is a super-2 number, since 2×20909953132800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057276512 + ... + 1057296288.

It is an arithmetic number, because the mean of its divisors is an integer number (162917714960).

Almost surely, 2^{20909953132800} is an apocalyptic number.

20909953132800 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 20909953132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35190226431360).

20909953132800 is an abundant number, since it is smaller than the sum of its proper divisors (49470499729920).

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

20909953132800 is a wasteful number, since it uses less digits than its factorization.

20909953132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20898 (or 20879 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 20909953132800 in words is "twenty trillion, nine hundred nine billion, nine hundred fifty-three million, one hundred thirty-two thousand, eight hundred".