13489278566400 has 2160 divisors, whose sum is σ = 60342029529600. Its totient is φ = 2804542341120.

The previous prime is 13489278566377. The next prime is 13489278566441. The reversal of 13489278566400 is 466587298431.

13489278566400 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 9 + 27 + 8 + 566 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26501529346 + ... + 26501529854.

It is a 1-persistent number, because it is pandigital, but 2⋅13489278566400 = 26978557132800 is not.

Almost surely, 2^{13489278566400} is an apocalyptic number.

13489278566400 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 13489278566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30171014764800).

13489278566400 is an abundant number, since it is smaller than the sum of its proper divisors (46852750963200).

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

13489278566400 is a wasteful number, since it uses less digits than its factorization.

13489278566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 13489278566400 in words is "thirteen trillion, four hundred eighty-nine billion, two hundred seventy-eight million, five hundred sixty-six thousand, four hundred".