13539805272 has 384 divisors, whose sum is σ = 44834549760. Its totient is φ = 3610414080.

The previous prime is 13539805247. The next prime is 13539805277. The reversal of 13539805272 is 27250893531.

13539805272 is a `hidden beast` number, since 1 + 35 + 3 + 98 + 0 + 527 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13539805277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68729878 + ... + 68730074.

It is an arithmetic number, because the mean of its divisors is an integer number (116756640).

Almost surely, 2^13539805272 is an apocalyptic number.

13539805272 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 13539805272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417274880).

13539805272 is an abundant number, since it is smaller than the sum of its proper divisors (31294744488).

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

13539805272 is a wasteful number, since it uses less digits than its factorization.

13539805272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13539805272 in words is "thirteen billion, five hundred thirty-nine million, eight hundred five thousand, two hundred seventy-two".