22783541760 has 960 divisors, whose sum is σ = 97520544000. Its totient is φ = 5039677440.

The previous prime is 22783541747. The next prime is 22783541761. The reversal of 22783541760 is 6714538722.

22783541760 is a `hidden beast` number, since 2 + 27 + 83 + 541 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22783541761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 734952945 + ... + 734952975.

It is an arithmetic number, because the mean of its divisors is an integer number (101583900).

Almost surely, 2^22783541760 is an apocalyptic number.

22783541760 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 22783541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48760272000).

22783541760 is an abundant number, since it is smaller than the sum of its proper divisors (74737002240).

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

22783541760 is an frugal number, since it uses more digits than its factorization.

22783541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 22783541760 in words is "twenty-two billion, seven hundred eighty-three million, five hundred forty-one thousand, seven hundred sixty".