13257084672 has 432 divisors, whose sum is σ = 43383572960. Its totient is φ = 4037050368.

The previous prime is 13257084667. The next prime is 13257084691. The reversal of 13257084672 is 27648075231.

13257084672 is a `hidden beast` number, since 1 + 3 + 2 + 570 + 8 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136670928 + ... + 136671024.

Almost surely, 2^13257084672 is an apocalyptic number.

13257084672 is a gapful number since it is divisible by the number (12) 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 13257084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21691786480).

13257084672 is an abundant number, since it is smaller than the sum of its proper divisors (30126488288).

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

13257084672 is an frugal number, since it uses more digits than its factorization.

13257084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13257084672 in words is "thirteen billion, two hundred fifty-seven million, eighty-four thousand, six hundred seventy-two".