22010355316992 has 576 divisors, whose sum is σ = 70351295938560. Its totient is φ = 5973013635072.

The previous prime is 22010355316987. The next prime is 22010355316997. The reversal of 22010355316992 is 29961355301022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22010355316987) and next prime (22010355316997).

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

It is not an unprimeable number, because it can be changed into a prime (22010355316997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14118251509 + ... + 14118253067.

It is an arithmetic number, because the mean of its divisors is an integer number (122137666560).

Almost surely, 2^{22010355316992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010355316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35175647969280).

22010355316992 is an abundant number, since it is smaller than the sum of its proper divisors (48340940621568).

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

22010355316992 is a wasteful number, since it uses less digits than its factorization.

22010355316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 22010355316992 in words is "twenty-two trillion, ten billion, three hundred fifty-five million, three hundred sixteen thousand, nine hundred ninety-two".