13778954280 has 1024 divisors, whose sum is σ = 61157376000. Its totient is φ = 2678427648.

The previous prime is 13778954249. The next prime is 13778954351. The reversal of 13778954280 is 8245987731.

It is a happy number.

13778954280 is a `hidden beast` number, since 13 + 7 + 7 + 8 + 9 + 542 + 80 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87763962 + ... + 87764118.

It is an arithmetic number, because the mean of its divisors is an integer number (59724000).

Almost surely, 2^13778954280 is an apocalyptic number.

13778954280 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 13778954280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30578688000).

13778954280 is an abundant number, since it is smaller than the sum of its proper divisors (47378421720).

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

13778954280 is a wasteful number, since it uses less digits than its factorization.

13778954280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13778954280 in words is "thirteen billion, seven hundred seventy-eight million, nine hundred fifty-four thousand, two hundred eighty".