13785446010 has 128 divisors (see below), whose sum is σ = 40012185600. Its totient is φ = 2969326080.

The previous prime is 13785445931. The next prime is 13785446011. The reversal of 13785446010 is 1064458731.

It is a self number, because there is not a number n which added to its sum of digits gives 13785446010.

It is not an unprimeable number, because it can be changed into a prime (13785446011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 753046 + ... + 771134.

It is an arithmetic number, because the mean of its divisors is an integer number (312595200).

Almost surely, 2^13785446010 is an apocalyptic number.

13785446010 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 13785446010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006092800).

13785446010 is an abundant number, since it is smaller than the sum of its proper divisors (26226739590).

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

13785446010 is a wasteful number, since it uses less digits than its factorization.

13785446010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18316.

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 13785446010 in words is "thirteen billion, seven hundred eighty-five million, four hundred forty-six thousand, ten".