19777107168 has 432 divisors, whose sum is σ = 71551967760. Its totient is φ = 5134897152.

The previous prime is 19777107167. The next prime is 19777107197. The reversal of 19777107168 is 86170177791.

It is a super-2 number, since 2×19777107168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19777107167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12290748 + ... + 12292356.

It is an arithmetic number, because the mean of its divisors is an integer number (165629555).

Almost surely, 2^19777107168 is an apocalyptic number.

19777107168 is a gapful number since it is divisible by the number (18) 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 19777107168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35775983880).

19777107168 is an abundant number, since it is smaller than the sum of its proper divisors (51774860592).

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

19777107168 is a wasteful number, since it uses less digits than its factorization.

19777107168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 54.

The spelling of 19777107168 in words is "nineteen billion, seven hundred seventy-seven million, one hundred seven thousand, one hundred sixty-eight".