13772077056 has 192 divisors, whose sum is σ = 40994553600. Its totient is φ = 4568408064.

The previous prime is 13772077051. The next prime is 13772077073. The reversal of 13772077056 is 65077027731.

13772077056 is a `hidden beast` number, since 1 + 377 + 207 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13772077051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14542375 + ... + 14543321.

It is an arithmetic number, because the mean of its divisors is an integer number (213513300).

Almost surely, 2^13772077056 is an apocalyptic number.

13772077056 is a gapful number since it is divisible by the number (16) 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 13772077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20497276800).

13772077056 is an abundant number, since it is smaller than the sum of its proper divisors (27222476544).

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

13772077056 is an equidigital number, since it uses as much as digits as its factorization.

13772077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 13772077056 in words is "thirteen billion, seven hundred seventy-two million, seventy-seven thousand, fifty-six".