13082977656 has 512 divisors, whose sum is σ = 44755200000. Its totient is φ = 3535902720.

The previous prime is 13082977651. The next prime is 13082977781. The reversal of 13082977656 is 65677928031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082977651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179218836 + ... + 179218908.

It is an arithmetic number, because the mean of its divisors is an integer number (87412500).

Almost surely, 2^13082977656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13082977656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377600000).

13082977656 is an abundant number, since it is smaller than the sum of its proper divisors (31672222344).

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

13082977656 is a wasteful number, since it uses less digits than its factorization.

13082977656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13082977656 in words is "thirteen billion, eighty-two million, nine hundred seventy-seven thousand, six hundred fifty-six".