10724097820656 has 320 divisors, whose sum is σ = 33054568943616. Its totient is φ = 2957926809600.

The previous prime is 10724097820633. The next prime is 10724097820783. The reversal of 10724097820656 is 65602879042701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10724097820596 and 10724097820605.

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 63 ways as a sum of consecutive naturals, for example, 444362766 + ... + 444386898.

Almost surely, 2^{10724097820656} is an apocalyptic number.

10724097820656 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 10724097820656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16527284471808).

10724097820656 is an abundant number, since it is smaller than the sum of its proper divisors (22330471122960).

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

10724097820656 is a wasteful number, since it uses less digits than its factorization.

10724097820656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25800 (or 25794 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 10724097820656 in words is "ten trillion, seven hundred twenty-four billion, ninety-seven million, eight hundred twenty thousand, six hundred fifty-six".