22161376800 has 432 divisors, whose sum is σ = 83145115872. Its totient is φ = 5535129600.

The previous prime is 22161376793. The next prime is 22161376801. The reversal of 22161376800 is 867316122.

22161376800 is a `hidden beast` number, since 221 + 61 + 376 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×22161376800² (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 (22161376801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40514127 + ... + 40514673.

It is an arithmetic number, because the mean of its divisors is an integer number (192465546).

Almost surely, 2^22161376800 is an apocalyptic number.

22161376800 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 22161376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41572557936).

22161376800 is an abundant number, since it is smaller than the sum of its proper divisors (60983739072).

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

22161376800 is a wasteful number, since it uses less digits than its factorization.

22161376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22161376800 in words is "twenty-two billion, one hundred sixty-one million, three hundred seventy-six thousand, eight hundred".