10880258077 has 64 divisors (see below), whose sum is σ = 13830082560. Its totient is φ = 8444620800.

The previous prime is 10880258047. The next prime is 10880258083. The reversal of 10880258077 is 77085208801.

It is a happy number.

It is not a de Polignac number, because 10880258077 - 2¹¹ = 10880256029 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880258047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4568427 + ... + 4570807.

It is an arithmetic number, because the mean of its divisors is an integer number (216095040).

Almost surely, 2^10880258077 is an apocalyptic number.

10880258077 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10880258077 is a deficient number, since it is larger than the sum of its proper divisors (2949824483).

10880258077 is a wasteful number, since it uses less digits than its factorization.

10880258077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494.

The product of its (nonzero) digits is 250880, while the sum is 46.

The spelling of 10880258077 in words is "ten billion, eight hundred eighty million, two hundred fifty-eight thousand, seventy-seven".