22778542080 has 1152 divisors, whose sum is σ = 100085207040. Its totient is φ = 4671406080.

The previous prime is 22778542067. The next prime is 22778542117. The reversal of 22778542080 is 8024587722.

22778542080 is a `hidden beast` number, since 2 + 2 + 77 + 85 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339978207 + ... + 339978273.

It is an arithmetic number, because the mean of its divisors is an integer number (86879520).

Almost surely, 2^22778542080 is an apocalyptic number.

22778542080 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 22778542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50042603520).

22778542080 is an abundant number, since it is smaller than the sum of its proper divisors (77306664960).

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

22778542080 is a wasteful number, since it uses less digits than its factorization.

22778542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 22778542080 in words is "twenty-two billion, seven hundred seventy-eight million, five hundred forty-two thousand, eighty".