13695160050 has 720 divisors, whose sum is σ = 48039327072. Its totient is φ = 2857420800.

The previous prime is 13695159971. The next prime is 13695160079. The reversal of 13695160050 is 5006159631.

13695160050 is a `hidden beast` number, since 136 + 9 + 516 + 0 + 0 + 5 + 0 = 666.

13695160050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13695159987 and 13695160014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 127992097 + ... + 127992203.

Almost surely, 2^13695160050 is an apocalyptic number.

13695160050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13695160050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24019663536).

13695160050 is an abundant number, since it is smaller than the sum of its proper divisors (34344167022).

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

13695160050 is a wasteful number, since it uses less digits than its factorization.

13695160050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 13695160050 in words is "thirteen billion, six hundred ninety-five million, one hundred sixty thousand, fifty".