13257984960 has 448 divisors, whose sum is σ = 51352704000. Its totient is φ = 3193344000.

The previous prime is 13257984937. The next prime is 13257984979. The reversal of 13257984960 is 6948975231.

13257984960 is a `hidden beast` number, since 1 + 3 + 2 + 579 + 8 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13257984897 and 13257984906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18912610 + ... + 18913310.

It is a 1-persistent number, because it is pandigital, but 2⋅13257984960 = 26515969920 is not.

Almost surely, 2^13257984960 is an apocalyptic number.

13257984960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13257984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25676352000).

13257984960 is an abundant number, since it is smaller than the sum of its proper divisors (38094719040).

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

13257984960 is a wasteful number, since it uses less digits than its factorization.

13257984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13257984960 in words is "thirteen billion, two hundred fifty-seven million, nine hundred eighty-four thousand, nine hundred sixty".