13470312960 has 800 divisors, whose sum is σ = 54900236160. Its totient is φ = 3129311232.

The previous prime is 13470312943. The next prime is 13470313007. The reversal of 13470312960 is 6921307431.

13470312960 is a `hidden beast` number, since 1 + 3 + 470 + 3 + 129 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51217789 + ... + 51218051.

Almost surely, 2^13470312960 is an apocalyptic number.

13470312960 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 13470312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27450118080).

13470312960 is an abundant number, since it is smaller than the sum of its proper divisors (41429923200).

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

13470312960 is a wasteful number, since it uses less digits than its factorization.

13470312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13470312960 in words is "thirteen billion, four hundred seventy million, three hundred twelve thousand, nine hundred sixty".