22254773760 has 320 divisors, whose sum is σ = 80989191360. Its totient is φ = 5789122560.

The previous prime is 22254773759. The next prime is 22254773771. The reversal of 22254773760 is 6737745222.

22254773760 is a `hidden beast` number, since 22 + 254 + 7 + 7 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 2829994 + ... + 2837846.

It is an arithmetic number, because the mean of its divisors is an integer number (253091223).

Almost surely, 2^22254773760 is an apocalyptic number.

22254773760 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 22254773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40494595680).

22254773760 is an abundant number, since it is smaller than the sum of its proper divisors (58734417600).

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

22254773760 is an equidigital number, since it uses as much as digits as its factorization.

22254773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7926 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 22254773760 in words is "twenty-two billion, two hundred fifty-four million, seven hundred seventy-three thousand, seven hundred sixty".