13077515744 has 96 divisors (see below), whose sum is σ = 27796408416. Its totient is φ = 6033899520.

The previous prime is 13077515701. The next prime is 13077515753. The reversal of 13077515744 is 44751577031.

13077515744 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 = 13077515695 and 13077515704.

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, 19146827 + ... + 19147509.

It is an arithmetic number, because the mean of its divisors is an integer number (289545921).

Almost surely, 2^13077515744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13077515744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898204208).

13077515744 is an abundant number, since it is smaller than the sum of its proper divisors (14718892672).

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

13077515744 is a wasteful number, since it uses less digits than its factorization.

13077515744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 13077515744 in words is "thirteen billion, seventy-seven million, five hundred fifteen thousand, seven hundred forty-four".