13077183220992 has 720 divisors, whose sum is σ = 45425781434880. Its totient is φ = 3702653337600.

The previous prime is 13077183220949. The next prime is 13077183221009. The reversal of 13077183220992 is 29902238177031.

It is a happy number.

13077183220992 is a `hidden beast` number, since 1 + 307 + 7 + 1 + 8 + 322 + 0 + 9 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205026418 + ... + 205090190.

It is an arithmetic number, because the mean of its divisors is an integer number (63091363104).

Almost surely, 2^{13077183220992} is an apocalyptic number.

13077183220992 is a gapful number since it is divisible by the number (12) 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 13077183220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22712890717440).

13077183220992 is an abundant number, since it is smaller than the sum of its proper divisors (32348598213888).

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

13077183220992 is a wasteful number, since it uses less digits than its factorization.

13077183220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63872 (or 63849 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 13077183220992 in words is "thirteen trillion, seventy-seven billion, one hundred eighty-three million, two hundred twenty thousand, nine hundred ninety-two".