13257069120 has 448 divisors, whose sum is σ = 49887225600. Its totient is φ = 3345795072.

The previous prime is 13257069103. The next prime is 13257069143. The reversal of 13257069120 is 2196075231.

13257069120 is a `hidden beast` number, since 1 + 3 + 2 + 570 + 69 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13296462 + ... + 13297458.

Almost surely, 2^13257069120 is an apocalyptic number.

13257069120 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 13257069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24943612800).

13257069120 is an abundant number, since it is smaller than the sum of its proper divisors (36630156480).

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

13257069120 is an frugal number, since it uses more digits than its factorization.

13257069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13257069120 in words is "thirteen billion, two hundred fifty-seven million, sixty-nine thousand, one hundred twenty".