13075029504 has 160 divisors (see below), whose sum is σ = 38792160000. Its totient is φ = 4348311552.

The previous prime is 13075029503. The next prime is 13075029553. The reversal of 13075029504 is 40592057031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13075029503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8279787 + ... + 8281365.

It is an arithmetic number, because the mean of its divisors is an integer number (242451000).

Almost surely, 2^13075029504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13075029504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396080000).

13075029504 is an abundant number, since it is smaller than the sum of its proper divisors (25717130496).

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

13075029504 is an equidigital number, since it uses as much as digits as its factorization.

13075029504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 13075029504 in words is "thirteen billion, seventy-five million, twenty-nine thousand, five hundred four".