13778657280 has 280 divisors, whose sum is σ = 49407916932. Its totient is φ = 3673423872.

The previous prime is 13778657279. The next prime is 13778657303. The reversal of 13778657280 is 8275687731.

It can be written as a sum of positive squares in 2 ways, for example, as 11601874944 + 2176782336 = 107712^2 + 46656^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3315684 + ... + 3319836.

Almost surely, 2^13778657280 is an apocalyptic number.

13778657280 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 13778657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24703958466).

13778657280 is an abundant number, since it is smaller than the sum of its proper divisors (35629259652).

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

13778657280 is an frugal number, since it uses more digits than its factorization.

13778657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 13778657280 in words is "thirteen billion, seven hundred seventy-eight million, six hundred fifty-seven thousand, two hundred eighty".