22261165920 has 288 divisors, whose sum is σ = 87619371840. Its totient is φ = 5041336320.

The previous prime is 22261165897. The next prime is 22261165939. The reversal of 22261165920 is 2956116222.

22261165920 is a `hidden beast` number, since 2 + 2 + 2 + 61 + 1 + 6 + 592 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088590 + ... + 1108850.

It is an arithmetic number, because the mean of its divisors is an integer number (304233930).

Almost surely, 2^22261165920 is an apocalyptic number.

22261165920 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 22261165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43809685920).

22261165920 is an abundant number, since it is smaller than the sum of its proper divisors (65358205920).

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

22261165920 is a wasteful number, since it uses less digits than its factorization.

22261165920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20398 (or 20387 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 2226116 and 5920, that added together give a square (2232036 = 1494²).

The spelling of 22261165920 in words is "twenty-two billion, two hundred sixty-one million, one hundred sixty-five thousand, nine hundred twenty".