13167925056 has 672 divisors, whose sum is σ = 47716171776. Its totient is φ = 3545856000.

The previous prime is 13167925051. The next prime is 13167925097. The reversal of 13167925056 is 65052976131.

13167925056 is a `hidden beast` number, since 131 + 6 + 7 + 9 + 2 + 505 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13167925051) 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, 68941921 + ... + 68942111.

It is an arithmetic number, because the mean of its divisors is an integer number (71006208).

Almost surely, 2^13167925056 is an apocalyptic number.

13167925056 is a gapful number since it is divisible by the number (16) 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 13167925056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858085888).

13167925056 is an abundant number, since it is smaller than the sum of its proper divisors (34548246720).

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

13167925056 is a wasteful number, since it uses less digits than its factorization.

13167925056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 13167925056 in words is "thirteen billion, one hundred sixty-seven million, nine hundred twenty-five thousand, fifty-six".