13005975570 has 64 divisors (see below), whose sum is σ = 37551098880. Its totient is φ = 2816330688.

The previous prime is 13005975559. The next prime is 13005975571. The reversal of 13005975570 is 7557950031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13005975571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1625832 + ... + 1633811.

It is an arithmetic number, because the mean of its divisors is an integer number (586735920).

Almost surely, 2^13005975570 is an apocalyptic number.

13005975570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005975570 is an abundant number, since it is smaller than the sum of its proper divisors (24545123310).

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

13005975570 is a wasteful number, since it uses less digits than its factorization.

13005975570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259679.

The product of its (nonzero) digits is 165375, while the sum is 42.

The spelling of 13005975570 in words is "thirteen billion, five million, nine hundred seventy-five thousand, five hundred seventy".