13198260960 has 96 divisors (see below), whose sum is σ = 46193928480. Its totient is φ = 3519535104.

The previous prime is 13198260953. The next prime is 13198260973. The reversal of 13198260960 is 6906289131.

It is a happy number.

13198260960 is a `hidden beast` number, since 1 + 31 + 9 + 8 + 2 + 609 + 6 + 0 = 666.

13198260960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1523257 + ... + 1531896.

It is an arithmetic number, because the mean of its divisors is an integer number (481186755).

Almost surely, 2^13198260960 is an apocalyptic number.

13198260960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13198260960 is an abundant number, since it is smaller than the sum of its proper divisors (32995667520).

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

13198260960 is a wasteful number, since it uses less digits than its factorization.

13198260960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055177 (or 3055163 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13198260960 in words is "thirteen billion, one hundred ninety-eight million, two hundred sixty thousand, nine hundred sixty".