22165785400 has 192 divisors, whose sum is σ = 59248350720. Its totient is φ = 7633190400.

The previous prime is 22165785353. The next prime is 22165785401. The reversal of 22165785400 is 458756122.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22165785401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5209674 + ... + 5213926.

It is an arithmetic number, because the mean of its divisors is an integer number (308585160).

Almost surely, 2^22165785400 is an apocalyptic number.

22165785400 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 22165785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29624175360).

22165785400 is an abundant number, since it is smaller than the sum of its proper divisors (37082565320).

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

22165785400 is a wasteful number, since it uses less digits than its factorization.

22165785400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 22165785400 in words is "twenty-two billion, one hundred sixty-five million, seven hundred eighty-five thousand, four hundred".