13077966589740 has 576 divisors, whose sum is σ = 43728630865920. Its totient is φ = 3144437729280.

The previous prime is 13077966589739. The next prime is 13077966589777. The reversal of 13077966589740 is 4798566977031.

It is a happy number.

13077966589740 is a `hidden beast` number, since 1 + 30 + 7 + 7 + 9 + 6 + 6 + 589 + 7 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6195151285 + ... + 6195153395.

It is an arithmetic number, because the mean of its divisors is an integer number (75917761920).

Almost surely, 2^{13077966589740} is an apocalyptic number.

13077966589740 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 13077966589740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864315432960).

13077966589740 is an abundant number, since it is smaller than the sum of its proper divisors (30650664276180).

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

13077966589740 is a wasteful number, since it uses less digits than its factorization.

13077966589740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 13077966589740 in words is "thirteen trillion, seventy-seven billion, nine hundred sixty-six million, five hundred eighty-nine thousand, seven hundred forty".