22216776000 has 448 divisors, whose sum is σ = 78284344320. Its totient is φ = 5535590400.

The previous prime is 22216775969. The next prime is 22216776007. The reversal of 22216776000 is 67761222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22216776007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37847707 + ... + 37848293.

It is an arithmetic number, because the mean of its divisors is an integer number (174741840).

Almost surely, 2^22216776000 is an apocalyptic number.

22216776000 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 22216776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39142172160).

22216776000 is an abundant number, since it is smaller than the sum of its proper divisors (56067568320).

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

22216776000 is a wasteful number, since it uses less digits than its factorization.

22216776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

It can be divided in two parts, 22216 and 776000, that added together give a triangular number (798216 = T₁₂₆₃).

The spelling of 22216776000 in words is "twenty-two billion, two hundred sixteen million, seven hundred seventy-six thousand".