22262778720 has 960 divisors, whose sum is σ = 99174620160. Its totient is φ = 4577513472.

The previous prime is 22262778697. The next prime is 22262778761. The reversal of 22262778720 is 2787726222.

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 159 ways as a sum of consecutive naturals, for example, 50712261 + ... + 50712699.

It is an arithmetic number, because the mean of its divisors is an integer number (103306896).

Almost surely, 2^22262778720 is an apocalyptic number.

22262778720 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 22262778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49587310080).

22262778720 is an abundant number, since it is smaller than the sum of its proper divisors (76911841440).

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

22262778720 is a wasteful number, since it uses less digits than its factorization.

22262778720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 22262778720 in words is "twenty-two billion, two hundred sixty-two million, seven hundred seventy-eight thousand, seven hundred twenty".