13406208075 has 288 divisors, whose sum is σ = 29278126080. Its totient is φ = 5984409600.

The previous prime is 13406208047. The next prime is 13406208077. The reversal of 13406208075 is 57080260431.

It is not a de Polignac number, because 13406208075 - 2⁸ = 13406207819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13406208077) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60117414 + ... + 60117636.

It is an arithmetic number, because the mean of its divisors is an integer number (101660160).

Almost surely, 2^13406208075 is an apocalyptic number.

13406208075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13406208075 is an abundant number, since it is smaller than the sum of its proper divisors (15871918005).

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

13406208075 is a wasteful number, since it uses less digits than its factorization.

13406208075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

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

The spelling of 13406208075 in words is "thirteen billion, four hundred six million, two hundred eight thousand, seventy-five".