22102778880 has 1056 divisors, whose sum is σ = 98794442880. Its totient is φ = 4644864000.

The previous prime is 22102778879. The next prime is 22102778927. The reversal of 22102778880 is 8887720122.

22102778880 is a `hidden beast` number, since 221 + 0 + 277 + 88 + 80 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 88058755 + ... + 88059005.

Almost surely, 2^22102778880 is an apocalyptic number.

22102778880 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 22102778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49397221440).

22102778880 is an abundant number, since it is smaller than the sum of its proper divisors (76691664000).

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

22102778880 is a wasteful number, since it uses less digits than its factorization.

22102778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 22102778880 in words is "twenty-two billion, one hundred two million, seven hundred seventy-eight thousand, eight hundred eighty".