13850819520 has 112 divisors (see below), whose sum is σ = 44222578560. Its totient is φ = 3672871936.

The previous prime is 13850819473. The next prime is 13850819533. The reversal of 13850819520 is 2591805831.

13850819520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13850819520² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 131539 + ... + 212141.

Almost surely, 2^13850819520 is an apocalyptic number.

13850819520 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 13850819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22111289280).

13850819520 is an abundant number, since it is smaller than the sum of its proper divisors (30371759040).

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

13850819520 is a wasteful number, since it uses less digits than its factorization.

13850819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80802 (or 80792 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 13850819520 in words is "thirteen billion, eight hundred fifty million, eight hundred nineteen thousand, five hundred twenty".