13778089875 has 320 divisors, whose sum is σ = 31313018880. Its totient is φ = 5940864000.

The previous prime is 13778089867. The next prime is 13778089891. The reversal of 13778089875 is 57898087731.

It is not a de Polignac number, because 13778089875 - 2³ = 13778089867 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35973934 + ... + 35974316.

It is an arithmetic number, because the mean of its divisors is an integer number (97853184).

Almost surely, 2^13778089875 is an apocalyptic number.

13778089875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13778089875 is an abundant number, since it is smaller than the sum of its proper divisors (17534929005).

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

13778089875 is a wasteful number, since it uses less digits than its factorization.

13778089875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 13778089875 in words is "thirteen billion, seven hundred seventy-eight million, eighty-nine thousand, eight hundred seventy-five".