22041127680 has 864 divisors, whose sum is σ = 86318447040. Its totient is φ = 4757913600.

The previous prime is 22041127663. The next prime is 22041127681. The reversal of 22041127680 is 8672114022.

It is a super-2 number, since 2×22041127680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22041127681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247653076 + ... + 247653164.

It is an arithmetic number, because the mean of its divisors is an integer number (99905610).

Almost surely, 2^22041127680 is an apocalyptic number.

22041127680 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 22041127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43159223520).

22041127680 is an abundant number, since it is smaller than the sum of its proper divisors (64277319360).

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

22041127680 is a wasteful number, since it uses less digits than its factorization.

22041127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 22041127680 in words is "twenty-two billion, forty-one million, one hundred twenty-seven thousand, six hundred eighty".