13470256800 has 1728 divisors, whose sum is σ = 67326940800. Its totient is φ = 2554675200.

The previous prime is 13470256781. The next prime is 13470256847. The reversal of 13470256800 is 865207431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151351156 + ... + 151351244.

It is an arithmetic number, because the mean of its divisors is an integer number (38962350).

Almost surely, 2^13470256800 is an apocalyptic number.

13470256800 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 13470256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33663470400).

13470256800 is an abundant number, since it is smaller than the sum of its proper divisors (53856684000).

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

13470256800 is a wasteful number, since it uses less digits than its factorization.

13470256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13470256800 in words is "thirteen billion, four hundred seventy million, two hundred fifty-six thousand, eight hundred".