21952444261800 has 576 divisors, whose sum is σ = 76179722935680. Its totient is φ = 5197409280000.

The previous prime is 21952444261733. The next prime is 21952444261817. The reversal of 21952444261800 is 816244425912.

It is a self number, because there is not a number n which added to its sum of digits gives 21952444261800.

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, 930926010 + ... + 930949590.

It is an arithmetic number, because the mean of its divisors is an integer number (132256463430).

Almost surely, 2^{21952444261800} is an apocalyptic number.

21952444261800 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 21952444261800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38089861467840).

21952444261800 is an abundant number, since it is smaller than the sum of its proper divisors (54227278673880).

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

21952444261800 is a wasteful number, since it uses less digits than its factorization.

21952444261800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23766 (or 23716 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 21952444261800 in words is "twenty-one trillion, nine hundred fifty-two billion, four hundred forty-four million, two hundred sixty-one thousand, eight hundred".