13777852880 has 160 divisors (see below), whose sum is σ = 35472729600. Its totient is φ = 4935168000.

The previous prime is 13777852859. The next prime is 13777852889. The reversal of 13777852880 is 8825877731.

13777852880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13777852889) 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 31 ways as a sum of consecutive naturals, for example, 22924580 + ... + 22925180.

It is an arithmetic number, because the mean of its divisors is an integer number (221704560).

Almost surely, 2^13777852880 is an apocalyptic number.

13777852880 is a gapful number since it is divisible by the number (10) 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 13777852880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17736364800).

13777852880 is an abundant number, since it is smaller than the sum of its proper divisors (21694876720).

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

13777852880 is a wasteful number, since it uses less digits than its factorization.

13777852880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 56.

The spelling of 13777852880 in words is "thirteen billion, seven hundred seventy-seven million, eight hundred fifty-two thousand, eight hundred eighty".