13478736000 has 512 divisors, whose sum is σ = 48347020800. Its totient is φ = 3311616000.

The previous prime is 13478735911. The next prime is 13478736013. The reversal of 13478736000 is 63787431.

It is a self number, because there is not a number n which added to its sum of digits gives 13478736000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32015790 + ... + 32016210.

It is an arithmetic number, because the mean of its divisors is an integer number (94427775).

Almost surely, 2^13478736000 is an apocalyptic number.

13478736000 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 13478736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173510400).

13478736000 is an abundant number, since it is smaller than the sum of its proper divisors (34868284800).

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

13478736000 is a wasteful number, since it uses less digits than its factorization.

13478736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 13478736000 in words is "thirteen billion, four hundred seventy-eight million, seven hundred thirty-six thousand".