22006136880 has 960 divisors, whose sum is σ = 100613560320. Its totient is φ = 4175069184.

The previous prime is 22006136869. The next prime is 22006136881. The reversal of 22006136880 is 8863160022.

It is a super-2 number, since 2×22006136880² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22006136881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25617891 + ... + 25618749.

It is an arithmetic number, because the mean of its divisors is an integer number (104805792).

Almost surely, 2^22006136880 is an apocalyptic number.

22006136880 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 22006136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50306780160).

22006136880 is an abundant number, since it is smaller than the sum of its proper divisors (78607423440).

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

22006136880 is a wasteful number, since it uses less digits than its factorization.

22006136880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22006136880 in words is "twenty-two billion, six million, one hundred thirty-six thousand, eight hundred eighty".