13960035072 has 504 divisors, whose sum is σ = 45754204160. Its totient is φ = 4232632320.

The previous prime is 13960035071. The next prime is 13960035083. The reversal of 13960035072 is 27053006931.

13960035072 is a `hidden beast` number, since 13 + 9 + 600 + 35 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×13960035072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13960035071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 109921473 + ... + 109921599.

Almost surely, 2^13960035072 is an apocalyptic number.

13960035072 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 13960035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22877102080).

13960035072 is an abundant number, since it is smaller than the sum of its proper divisors (31794169088).

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

13960035072 is an equidigital number, since it uses as much as digits as its factorization.

13960035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 13960035072 in words is "thirteen billion, nine hundred sixty million, thirty-five thousand, seventy-two".