13067695872 has 576 divisors, whose sum is σ = 49385656320. Its totient is φ = 3309465600.

The previous prime is 13067695871. The next prime is 13067695897. The reversal of 13067695872 is 27859676031.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (13067695871) 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, 22885347 + ... + 22885917.

Almost surely, 2^13067695872 is an apocalyptic number.

13067695872 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 13067695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24692828160).

13067695872 is an abundant number, since it is smaller than the sum of its proper divisors (36317960448).

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

13067695872 is a wasteful number, since it uses less digits than its factorization.

13067695872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13067695872 in words is "thirteen billion, sixty-seven million, six hundred ninety-five thousand, eight hundred seventy-two".