13277924352 has 792 divisors, whose sum is σ = 50900046960. Its totient is φ = 3448811520.

The previous prime is 13277924327. The next prime is 13277924381. The reversal of 13277924352 is 25342977231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13277924352 is a `hidden beast` number, since 1 + 3 + 277 + 9 + 24 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a junction number, because it is equal to n+sod(n) for n = 13277924298 and 13277924307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1207084027 + ... + 1207084037.

Almost surely, 2^13277924352 is an apocalyptic number.

13277924352 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 13277924352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25450023480).

13277924352 is an abundant number, since it is smaller than the sum of its proper divisors (37622122608).

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

13277924352 is an frugal number, since it uses more digits than its factorization.

13277924352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 13277924352 in words is "thirteen billion, two hundred seventy-seven million, nine hundred twenty-four thousand, three hundred fifty-two".