13508164367040 has 112 divisors (see below), whose sum is σ = 49015339299072. Its totient is φ = 3087580425216.

The previous prime is 13508164367017. The next prime is 13508164367051. The reversal of 13508164367040 is 4076346180531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005065034 + ... + 1005078473.

Almost surely, 2^{13508164367040} is an apocalyptic number.

13508164367040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13508164367040 is an abundant number, since it is smaller than the sum of its proper divisors (35507174932032).

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

13508164367040 is a wasteful number, since it uses less digits than its factorization.

13508164367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010143534 (or 2010143524 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 13508164367040 in words is "thirteen trillion, five hundred eight billion, one hundred sixty-four million, three hundred sixty-seven thousand, forty".