13258287878304 has 96 divisors (see below), whose sum is σ = 39776710901760. Its totient is φ = 3787906321152.

The previous prime is 13258287878267. The next prime is 13258287878317. The reversal of 13258287878304 is 40387878285231.

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

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, 14379217 + ... + 15273455.

It is an arithmetic number, because the mean of its divisors is an integer number (414340738560).

Almost surely, 2^{13258287878304} is an apocalyptic number.

13258287878304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13258287878304 is an abundant number, since it is smaller than the sum of its proper divisors (26518423023456).

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

13258287878304 is a wasteful number, since it uses less digits than its factorization.

13258287878304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916322 (or 916314 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 66.

The spelling of 13258287878304 in words is "thirteen trillion, two hundred fifty-eight billion, two hundred eighty-seven million, eight hundred seventy-eight thousand, three hundred four".