22052125045200 has 240 divisors, whose sum is σ = 72675324860480. Its totient is φ = 5711709634560.

The previous prime is 22052125045169. The next prime is 22052125045201. The reversal of 22052125045200 is 254052125022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22052125045201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25188411 + ... + 26049189.

Almost surely, 2^{22052125045200} is an apocalyptic number.

22052125045200 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 22052125045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36337662430240).

22052125045200 is an abundant number, since it is smaller than the sum of its proper divisors (50623199815280).

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

22052125045200 is a wasteful number, since it uses less digits than its factorization.

22052125045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861414 (or 861403 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 22052125045200 in words is "twenty-two trillion, fifty-two billion, one hundred twenty-five million, forty-five thousand, two hundred".