13077833760 has 144 divisors (see below), whose sum is σ = 46977053760. Its totient is φ = 3303866880.

The previous prime is 13077833759. The next prime is 13077833789. The reversal of 13077833760 is 6733877031.

13077833760 is a `hidden beast` number, since 1 + 307 + 7 + 8 + 337 + 6 + 0 = 666.

13077833760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 211636 + ... + 266355.

It is an arithmetic number, because the mean of its divisors is an integer number (326229540).

Almost surely, 2^13077833760 is an apocalyptic number.

13077833760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13077833760 is an abundant number, since it is smaller than the sum of its proper divisors (33899220000).

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

13077833760 is a wasteful number, since it uses less digits than its factorization.

13077833760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478031 (or 478020 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 13077833760 in words is "thirteen billion, seventy-seven million, eight hundred thirty-three thousand, seven hundred sixty".