13001624736 has 96 divisors (see below), whose sum is σ = 35679813120. Its totient is φ = 4137686784.

The previous prime is 13001624717. The next prime is 13001624743. The reversal of 13001624736 is 63742610031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13001624697 and 13001624706.

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, 1237875 + ... + 1248333.

It is an arithmetic number, because the mean of its divisors is an integer number (371664720).

Almost surely, 2^13001624736 is an apocalyptic number.

13001624736 is a gapful number since it is divisible by the number (16) 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 13001624736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17839906560).

13001624736 is an abundant number, since it is smaller than the sum of its proper divisors (22678188384).

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

13001624736 is a wasteful number, since it uses less digits than its factorization.

13001624736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13001624736 in words is "thirteen billion, one million, six hundred twenty-four thousand, seven hundred thirty-six".