13630065120 has 576 divisors, whose sum is σ = 55975256064. Its totient is φ = 2954465280.

The previous prime is 13630065109. The next prime is 13630065139. The reversal of 13630065120 is 2156003631.

13630065120 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 0 + 0 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×13630065120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16561029 + ... + 16561851.

It is an arithmetic number, because the mean of its divisors is an integer number (97179264).

Almost surely, 2^13630065120 is an apocalyptic number.

13630065120 is a gapful number since it is divisible by the number (10) 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 13630065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27987628032).

13630065120 is an abundant number, since it is smaller than the sum of its proper divisors (42345190944).

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

13630065120 is a wasteful number, since it uses less digits than its factorization.

13630065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13630065120 its reverse (2156003631), we get a palindrome (15786068751).

The spelling of 13630065120 in words is "thirteen billion, six hundred thirty million, sixty-five thousand, one hundred twenty".