22210820736960 has 896 divisors, whose sum is σ = 78763987353600. Its totient is φ = 5276813230080.

The previous prime is 22210820736953. The next prime is 22210820736961. The reversal of 22210820736960 is 6963702801222.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210820736961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10364357649 + ... + 10364359791.

Almost surely, 2^{22210820736960} is an apocalyptic number.

22210820736960 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 22210820736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39381993676800).

22210820736960 is an abundant number, since it is smaller than the sum of its proper divisors (56553166616640).

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

22210820736960 is a wasteful number, since it uses less digits than its factorization.

22210820736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 22210820736960 in words is "twenty-two trillion, two hundred ten billion, eight hundred twenty million, seven hundred thirty-six thousand, nine hundred sixty".