22006667520 has 288 divisors, whose sum is σ = 78628919040. Its totient is φ = 5828198400.

The previous prime is 22006667519. The next prime is 22006667539. The reversal of 22006667520 is 2576660022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5216452 + ... + 5220668.

It is an arithmetic number, because the mean of its divisors is an integer number (273017080).

Almost surely, 2^22006667520 is an apocalyptic number.

22006667520 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 22006667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39314459520).

22006667520 is an abundant number, since it is smaller than the sum of its proper divisors (56622251520).

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

22006667520 is a wasteful number, since it uses less digits than its factorization.

22006667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22006667520 in words is "twenty-two billion, six million, six hundred sixty-seven thousand, five hundred twenty".