22512705667440 has 320 divisors, whose sum is σ = 70988476446720. Its totient is φ = 5901037608960.

The previous prime is 22512705667373. The next prime is 22512705667451. The reversal of 22512705667440 is 4476650721522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4604764516 + ... + 4604769404.

It is an arithmetic number, because the mean of its divisors is an integer number (221838988896).

Almost surely, 2^{22512705667440} is an apocalyptic number.

22512705667440 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 22512705667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35494238223360).

22512705667440 is an abundant number, since it is smaller than the sum of its proper divisors (48475770779280).

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

22512705667440 is a wasteful number, since it uses less digits than its factorization.

22512705667440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 22512705667440 in words is "twenty-two trillion, five hundred twelve billion, seven hundred five million, six hundred sixty-seven thousand, four hundred forty".