13257503360000 has 110 divisors (see below), whose sum is σ = 33116975698950. Its totient is φ = 5303001088000.

The previous prime is 13257503359993. The next prime is 13257503360039. The reversal of 13257503360000 is 6330575231.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 6196196294656 + 7061307065344 = 2489216^2 + 2657312^2 .

It is a super-2 number, since 2×13257503360000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9717425 + ... + 10997424.

It is an arithmetic number, because the mean of its divisors is an integer number (301063415445).

Almost surely, 2^{13257503360000} is an apocalyptic number.

13257503360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13257503360000 is an abundant number, since it is smaller than the sum of its proper divisors (19859472338950).

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

13257503360000 is an frugal number, since it uses more digits than its factorization.

13257503360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20714889 (or 20714856 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 35.

The spelling of 13257503360000 in words is "thirteen trillion, two hundred fifty-seven billion, five hundred three million, three hundred sixty thousand".