13543679952 has 320 divisors, whose sum is σ = 45125683200. Its totient is φ = 3843717120.

The previous prime is 13543679939. The next prime is 13543679957. The reversal of 13543679952 is 25997634531.

13543679952 is a `hidden beast` number, since 1 + 3 + 543 + 6 + 7 + 9 + 95 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13543679957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29001223 + ... + 29001689.

It is an arithmetic number, because the mean of its divisors is an integer number (141017760).

Almost surely, 2^13543679952 is an apocalyptic number.

13543679952 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 13543679952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562841600).

13543679952 is an abundant number, since it is smaller than the sum of its proper divisors (31582003248).

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

13543679952 is a wasteful number, since it uses less digits than its factorization.

13543679952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 13543679952 in words is "thirteen billion, five hundred forty-three million, six hundred seventy-nine thousand, nine hundred fifty-two".