10277890168 has 256 divisors, whose sum is σ = 25376198400. Its totient is φ = 3795517440.

The previous prime is 10277890159. The next prime is 10277890201. The reversal of 10277890168 is 86109877201.

It is a congruent number.

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, 115481868 + ... + 115481956.

It is an arithmetic number, because the mean of its divisors is an integer number (99125775).

Almost surely, 2^10277890168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10277890168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688099200).

10277890168 is an abundant number, since it is smaller than the sum of its proper divisors (15098308232).

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

10277890168 is a wasteful number, since it uses less digits than its factorization.

10277890168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 49.

The spelling of 10277890168 in words is "ten billion, two hundred seventy-seven million, eight hundred ninety thousand, one hundred sixty-eight".