13780049010 has 256 divisors, whose sum is σ = 42887577600. Its totient is φ = 2812803840.

The previous prime is 13780048993. The next prime is 13780049011. The reversal of 13780049010 is 1094008731.

It is not an unprimeable number, because it can be changed into a prime (13780049011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4145209 + ... + 4148531.

It is an arithmetic number, because the mean of its divisors is an integer number (167529600).

Almost surely, 2^13780049010 is an apocalyptic number.

13780049010 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 13780049010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21443788800).

13780049010 is an abundant number, since it is smaller than the sum of its proper divisors (29107528590).

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

13780049010 is a wasteful number, since it uses less digits than its factorization.

13780049010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 13780049010 in words is "thirteen billion, seven hundred eighty million, forty-nine thousand, ten".