13506370864 has 80 divisors (see below), whose sum is σ = 30947304960. Its totient is φ = 5590126080.

The previous prime is 13506370859. The next prime is 13506370901. The reversal of 13506370864 is 46807360531.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 13506370864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412869 + ... + 444379.

It is an arithmetic number, because the mean of its divisors is an integer number (386841312).

Almost surely, 2^13506370864 is an apocalyptic number.

13506370864 is a gapful number since it is divisible by the number (14) 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 13506370864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473652480).

13506370864 is an abundant number, since it is smaller than the sum of its proper divisors (17440934096).

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

13506370864 is a wasteful number, since it uses less digits than its factorization.

13506370864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31658 (or 31652 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 13506370864 in words is "thirteen billion, five hundred six million, three hundred seventy thousand, eight hundred sixty-four".