22505450510400 has 1344 divisors, whose sum is σ = 92164668583680. Its totient is φ = 4730948812800.

The previous prime is 22505450510369. The next prime is 22505450510401. The reversal of 22505450510400 is 401505450522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (22505450510401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 736491922 + ... + 736522478.

It is an arithmetic number, because the mean of its divisors is an integer number (68574902220).

Almost surely, 2^{22505450510400} is an apocalyptic number.

22505450510400 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 22505450510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46082334291840).

22505450510400 is an abundant number, since it is smaller than the sum of its proper divisors (69659218073280).

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

22505450510400 is a wasteful number, since it uses less digits than its factorization.

22505450510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30672 (or 30657 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

Adding to 22505450510400 its reverse (401505450522), we get a palindrome (22906955960922).

The spelling of 22505450510400 in words is "twenty-two trillion, five hundred five billion, four hundred fifty million, five hundred ten thousand, four hundred".