22106630400 has 216 divisors, whose sum is σ = 75474127680. Its totient is φ = 5691678720.

The previous prime is 22106630383. The next prime is 22106630401. The reversal of 22106630400 is 403660122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22106630401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536949 + ... + 576651.

Almost surely, 2^22106630400 is an apocalyptic number.

22106630400 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 22106630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37737063840).

22106630400 is an abundant number, since it is smaller than the sum of its proper divisors (53367497280).

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

22106630400 is a wasteful number, since it uses less digits than its factorization.

22106630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39761 (or 39742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 22106630400 in words is "twenty-two billion, one hundred six million, six hundred thirty thousand, four hundred".