13415431680 has 960 divisors, whose sum is σ = 58945423680. Its totient is φ = 2873622528.

The previous prime is 13415431661. The next prime is 13415431717. The reversal of 13415431680 is 8613451431.

13415431680 is a `hidden beast` number, since 1 + 34 + 1 + 543 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57576844 + ... + 57577076.

It is an arithmetic number, because the mean of its divisors is an integer number (61401483).

Almost surely, 2^13415431680 is an apocalyptic number.

13415431680 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 13415431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29472711840).

13415431680 is an abundant number, since it is smaller than the sum of its proper divisors (45529992000).

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

13415431680 is a wasteful number, since it uses less digits than its factorization.

13415431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13415431680 in words is "thirteen billion, four hundred fifteen million, four hundred thirty-one thousand, six hundred eighty".