13049827840 has 160 divisors (see below), whose sum is σ = 35842777344. Its totient is φ = 4463738880.

The previous prime is 13049827823. The next prime is 13049827841. The reversal of 13049827840 is 4872894031.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (13049827841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14711877 + ... + 14712763.

Almost surely, 2^13049827840 is an apocalyptic number.

13049827840 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 13049827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921388672).

13049827840 is an abundant number, since it is smaller than the sum of its proper divisors (22792949504).

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

13049827840 is an frugal number, since it uses more digits than its factorization.

13049827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

It can be divided in two parts, 13049 and 827840, that added together give a square (840889 = 917²).

The spelling of 13049827840 in words is "thirteen billion, forty-nine million, eight hundred twenty-seven thousand, eight hundred forty".