13264543152 has 400 divisors, whose sum is σ = 45136833280. Its totient is φ = 3682838016.

The previous prime is 13264543139. The next prime is 13264543177. The reversal of 13264543152 is 25134546231.

13264543152 is a `hidden beast` number, since 1 + 3 + 2 + 64 + 543 + 1 + 52 = 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 79 ways as a sum of consecutive naturals, for example, 84487458 + ... + 84487614.

Almost surely, 2^13264543152 is an apocalyptic number.

13264543152 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 13264543152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22568416640).

13264543152 is an abundant number, since it is smaller than the sum of its proper divisors (31872290128).

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

13264543152 is a wasteful number, since it uses less digits than its factorization.

13264543152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 13264543152 in words is "thirteen billion, two hundred sixty-four million, five hundred forty-three thousand, one hundred fifty-two".