13872785472 has 252 divisors, whose sum is σ = 49211423040. Its totient is φ = 3658576896.

The previous prime is 13872785453. The next prime is 13872785473. The reversal of 13872785472 is 27458727831.

13872785472 is a `hidden beast` number, since 1 + 38 + 72 + 78 + 5 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (13872785473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 671229 + ... + 691587.

Almost surely, 2^13872785472 is an apocalyptic number.

13872785472 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 13872785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605711520).

13872785472 is an abundant number, since it is smaller than the sum of its proper divisors (35338637568).

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

13872785472 is a wasteful number, since it uses less digits than its factorization.

13872785472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20410 (or 20384 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 13872785472 in words is "thirteen billion, eight hundred seventy-two million, seven hundred eighty-five thousand, four hundred seventy-two".