22352225510400 has 528 divisors, whose sum is σ = 79038566832960. Its totient is φ = 5554284134400.

The previous prime is 22352225510389. The next prime is 22352225510423. The reversal of 22352225510400 is 401552225322.

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, 88885642 + ... + 89136758.

Almost surely, 2^{22352225510400} is an apocalyptic number.

22352225510400 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 22352225510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39519283416480).

22352225510400 is an abundant number, since it is smaller than the sum of its proper divisors (56686341322560).

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

22352225510400 is a wasteful number, since it uses less digits than its factorization.

22352225510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251230 (or 251207 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 22352225510400 its reverse (401552225322), we get a palindrome (22753777735722).

The spelling of 22352225510400 in words is "twenty-two trillion, three hundred fifty-two billion, two hundred twenty-five million, five hundred ten thousand, four hundred".