22260972517200 has 1440 divisors, whose sum is σ = 87205633482240. Its totient is φ = 5431305830400.

The previous prime is 22260972517103. The next prime is 22260972517211. The reversal of 22260972517200 is 271527906222.

22260972517200 is a `hidden beast` number, since 2 + 2 + 2 + 60 + 9 + 72 + 517 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30961018441 + ... + 30961019159.

It is an arithmetic number, because the mean of its divisors is an integer number (60559467696).

Almost surely, 2^{22260972517200} is an apocalyptic number.

22260972517200 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 22260972517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43602816741120).

22260972517200 is an abundant number, since it is smaller than the sum of its proper divisors (64944660965040).

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

22260972517200 is a wasteful number, since it uses less digits than its factorization.

22260972517200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 22260972517200 in words is "twenty-two trillion, two hundred sixty billion, nine hundred seventy-two million, five hundred seventeen thousand, two hundred".