20952214264800 has 3456 divisors, whose sum is σ = 100703254579200. Its totient is φ = 3996679864320.

The previous prime is 20952214264771. The next prime is 20952214264801. The reversal of 20952214264800 is 846241225902.

20952214264800 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 22 + 142 + 6 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20952214264801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 48388485384 + ... + 48388485816.

It is an arithmetic number, because the mean of its divisors is an integer number (29138673200).

Almost surely, 2^{20952214264800} is an apocalyptic number.

20952214264800 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 20952214264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50351627289600).

20952214264800 is an abundant number, since it is smaller than the sum of its proper divisors (79751040314400).

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

20952214264800 is a wasteful number, since it uses less digits than its factorization.

20952214264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20952214264800 in words is "twenty trillion, nine hundred fifty-two billion, two hundred fourteen million, two hundred sixty-four thousand, eight hundred".