13430914560 has 800 divisors, whose sum is σ = 57989859840. Its totient is φ = 2902376448.

The previous prime is 13430914559. The next prime is 13430914571. The reversal of 13430914560 is 6541903431.

13430914560 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 91 + 4 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27578637 + ... + 27579123.

Almost surely, 2^13430914560 is an apocalyptic number.

13430914560 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 13430914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28994929920).

13430914560 is an abundant number, since it is smaller than the sum of its proper divisors (44558945280).

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

13430914560 is an equidigital number, since it uses as much as digits as its factorization.

13430914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13430914560 in words is "thirteen billion, four hundred thirty million, nine hundred fourteen thousand, five hundred sixty".