13417264080 has 360 divisors, whose sum is σ = 49784037576. Its totient is φ = 3235921920.

The previous prime is 13417264027. The next prime is 13417264097. The reversal of 13417264080 is 8046271431.

13417264080 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 7 + 2 + 640 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2098006416 + 11319257664 = 45804^2 + 106392^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 29359212 + ... + 29359668.

Almost surely, 2^13417264080 is an apocalyptic number.

13417264080 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 13417264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24892018788).

13417264080 is an abundant number, since it is smaller than the sum of its proper divisors (36366773496).

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

13417264080 is a wasteful number, since it uses less digits than its factorization.

13417264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13417264080 in words is "thirteen billion, four hundred seventeen million, two hundred sixty-four thousand, eighty".