13777639680 has 432 divisors, whose sum is σ = 52596371520. Its totient is φ = 3062513664.

The previous prime is 13777639679. The next prime is 13777639691. The reversal of 13777639680 is 8693677731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13777639680.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6960931 + ... + 6962909.

It is an arithmetic number, because the mean of its divisors is an integer number (121750860).

Almost surely, 2^13777639680 is an apocalyptic number.

13777639680 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 13777639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26298185760).

13777639680 is an abundant number, since it is smaller than the sum of its proper divisors (38818731840).

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

13777639680 is a wasteful number, since it uses less digits than its factorization.

13777639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 57.

The spelling of 13777639680 in words is "thirteen billion, seven hundred seventy-seven million, six hundred thirty-nine thousand, six hundred eighty".