10779801408 has 280 divisors, whose sum is σ = 33607260192. Its totient is φ = 3412233216.

The previous prime is 10779801401. The next prime is 10779801421. The reversal of 10779801408 is 80410897701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10779801401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8247091 + ... + 8248397.

Almost surely, 2^10779801408 is an apocalyptic number.

10779801408 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 10779801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803630096).

10779801408 is an abundant number, since it is smaller than the sum of its proper divisors (22827458784).

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

10779801408 is a wasteful number, since it uses less digits than its factorization.

10779801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10779801408 in words is "ten billion, seven hundred seventy-nine million, eight hundred one thousand, four hundred eight".