22777879161120 has 384 divisors, whose sum is σ = 75959026311168. Its totient is φ = 5728162406400.

The previous prime is 22777879161097. The next prime is 22777879161143. The reversal of 22777879161120 is 2116197877722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22777879161097) and next prime (22777879161143).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 538679499 + ... + 538721781.

It is an arithmetic number, because the mean of its divisors is an integer number (197809964352).

Almost surely, 2^{22777879161120} is an apocalyptic number.

22777879161120 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 22777879161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37979513155584).

22777879161120 is an abundant number, since it is smaller than the sum of its proper divisors (53181147150048).

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

22777879161120 is a wasteful number, since it uses less digits than its factorization.

22777879161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43256 (or 43248 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 60.

The spelling of 22777879161120 in words is "twenty-two trillion, seven hundred seventy-seven billion, eight hundred seventy-nine million, one hundred sixty-one thousand, one hundred twenty".