13420405106064 has 120 divisors (see below), whose sum is σ = 42294610185984. Its totient is φ = 3935602656000.

The previous prime is 13420405106029. The next prime is 13420405106137. The reversal of 13420405106064 is 46060150402431.

13420405106064 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 0 + 40 + 5 + 1 + 0 + 606 + 4 = 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 23 ways as a sum of consecutive naturals, for example, 136603767 + ... + 136701974.

Almost surely, 2^{13420405106064} is an apocalyptic number.

It is an amenable number.

13420405106064 is an abundant number, since it is smaller than the sum of its proper divisors (28874205079920).

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

13420405106064 is a wasteful number, since it uses less digits than its factorization.

13420405106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273305797 (or 273305788 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13420405106064 its reverse (46060150402431), we get a palindrome (59480555508495).

The spelling of 13420405106064 in words is "thirteen trillion, four hundred twenty billion, four hundred five million, one hundred six thousand, sixty-four".