22066358400 has 288 divisors, whose sum is σ = 78922286820. Its totient is φ = 5870592000.

The previous prime is 22066358371. The next prime is 22066358473. The reversal of 22066358400 is 485366022.

It can be written as a sum of positive squares in 6 ways, for example, as 18839209536 + 3227148864 = 137256^2 + 56808^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20188254 + ... + 20189346.

Almost surely, 2^22066358400 is an apocalyptic number.

22066358400 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 22066358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461143410).

22066358400 is an abundant number, since it is smaller than the sum of its proper divisors (56855928420).

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

22066358400 is a wasteful number, since it uses less digits than its factorization.

22066358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22066358400 in words is "twenty-two billion, sixty-six million, three hundred fifty-eight thousand, four hundred".