22525420042400 has 288 divisors, whose sum is σ = 63047939673600. Its totient is φ = 7778552601600.

The previous prime is 22525420042319. The next prime is 22525420042417. The reversal of 22525420042400 is 424002452522.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 27733271 + ... + 28533929.

It is an arithmetic number, because the mean of its divisors is an integer number (218916457200).

Almost surely, 2^{22525420042400} is an apocalyptic number.

22525420042400 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 22525420042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31523969836800).

22525420042400 is an abundant number, since it is smaller than the sum of its proper divisors (40522519631200).

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

22525420042400 is a wasteful number, since it uses less digits than its factorization.

22525420042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800852 (or 800839 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

Adding to 22525420042400 its reverse (424002452522), we get a palindrome (22949422494922).

The spelling of 22525420042400 in words is "twenty-two trillion, five hundred twenty-five billion, four hundred twenty million, forty-two thousand, four hundred".