10980713728656 has 405 divisors, whose sum is σ = 36192947928579. Its totient is φ = 3098775125376.

The previous prime is 10980713728601. The next prime is 10980713728703. The reversal of 10980713728656 is 65682731708901.

The square root of 10980713728656 is 3313716.

It is a perfect power (a square), and thus also a powerful number.

10980713728656 is a `hidden beast` number, since 109 + 80 + 7 + 1 + 372 + 86 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10980713728593 and 10980713728602.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28670270641 + ... + 28670271023.

Almost surely, 2^{10980713728656} is an apocalyptic number.

10980713728656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10980713728656 is the 3313716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10980713728656

10980713728656 is an abundant number, since it is smaller than the sum of its proper divisors (25212234199923).

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

10980713728656 is an equidigital number, since it uses as much as digits as its factorization.

10980713728656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10980713728656 in words is "ten trillion, nine hundred eighty billion, seven hundred thirteen million, seven hundred twenty-eight thousand, six hundred fifty-six".