13077343429920 has 960 divisors, whose sum is σ = 57706719840000. Its totient is φ = 2709511741440.

The previous prime is 13077343429859. The next prime is 13077343429939. The reversal of 13077343429920 is 2992434377031.

13077343429920 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 7 + 343 + 4 + 299 + 2 + 0 = 666.

It is a super-2 number, since 2×13077343429920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 348255306 + ... + 348292854.

It is an arithmetic number, because the mean of its divisors is an integer number (60111166500).

Almost surely, 2^{13077343429920} is an apocalyptic number.

13077343429920 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 13077343429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28853359920000).

13077343429920 is an abundant number, since it is smaller than the sum of its proper divisors (44629376410080).

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

13077343429920 is a wasteful number, since it uses less digits than its factorization.

13077343429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37943 (or 37926 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 13077343429920 in words is "thirteen trillion, seventy-seven billion, three hundred forty-three million, four hundred twenty-nine thousand, nine hundred twenty".