20257776168 has 128 divisors (see below), whose sum is σ = 59600659200. Its totient is φ = 5616635904.

The previous prime is 20257776167. The next prime is 20257776169. The reversal of 20257776168 is 86167775202.

It is an interprime number because it is at equal distance from previous prime (20257776167) and next prime (20257776169).

It is a self number, because there is not a number n which added to its sum of digits gives 20257776168.

It is not an unprimeable number, because it can be changed into a prime (20257776167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2463648 + ... + 2471856.

It is an arithmetic number, because the mean of its divisors is an integer number (465630150).

Almost surely, 2^20257776168 is an apocalyptic number.

20257776168 is a gapful number since it is divisible by the number (28) 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 20257776168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29800329600).

20257776168 is an abundant number, since it is smaller than the sum of its proper divisors (39342883032).

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

20257776168 is a wasteful number, since it uses less digits than its factorization.

20257776168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 20257776168 in words is "twenty billion, two hundred fifty-seven million, seven hundred seventy-six thousand, one hundred sixty-eight".