20953434499200 has 768 divisors, whose sum is σ = 89676788889600. Its totient is φ = 4677970268160.

The previous prime is 20953434499199. The next prime is 20953434499223. The reversal of 20953434499200 is 299443435902.

20953434499200 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 3 + 4 + 344 + 99 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25603549 + ... + 26409251.

It is an arithmetic number, because the mean of its divisors is an integer number (116766652200).

Almost surely, 2^{20953434499200} is an apocalyptic number.

20953434499200 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 20953434499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44838394444800).

20953434499200 is an abundant number, since it is smaller than the sum of its proper divisors (68723354390400).

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

20953434499200 is a wasteful number, since it uses less digits than its factorization.

20953434499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805786 (or 805763 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 20953434499200 in words is "twenty trillion, nine hundred fifty-three billion, four hundred thirty-four million, four hundred ninety-nine thousand, two hundred".