22125635336400 has 240 divisors, whose sum is σ = 71595723622080. Its totient is φ = 5840266752000.

The previous prime is 22125635336393. The next prime is 22125635336407. The reversal of 22125635336400 is 463353652122.

It is an interprime number because it is at equal distance from previous prime (22125635336393) and next prime (22125635336407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22125635336407) 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, 525865764 + ... + 525907836.

It is an arithmetic number, because the mean of its divisors is an integer number (298315515092).

Almost surely, 2^{22125635336400} is an apocalyptic number.

22125635336400 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 22125635336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35797861811040).

22125635336400 is an abundant number, since it is smaller than the sum of its proper divisors (49470088285680).

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

22125635336400 is a wasteful number, since it uses less digits than its factorization.

22125635336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46534 (or 46523 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 22125635336400 its reverse (463353652122), we get a palindrome (22588988988522).

The spelling of 22125635336400 in words is "twenty-two trillion, one hundred twenty-five billion, six hundred thirty-five million, three hundred thirty-six thousand, four hundred".