22066516400 has 120 divisors (see below), whose sum is σ = 57103696320. Its totient is φ = 8167461120.

The previous prime is 22066516399. The next prime is 22066516453. The reversal of 22066516400 is 461566022.

It is a super-2 number, since 2×22066516400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293039 + ... + 360561.

It is an arithmetic number, because the mean of its divisors is an integer number (475864136).

Almost surely, 2^22066516400 is an apocalyptic number.

22066516400 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 22066516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551848160).

22066516400 is an abundant number, since it is smaller than the sum of its proper divisors (35037179920).

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

22066516400 is a wasteful number, since it uses less digits than its factorization.

22066516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67603 (or 67592 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 22066516400 in words is "twenty-two billion, sixty-six million, five hundred sixteen thousand, four hundred".