10626646759872 has 896 divisors, whose sum is σ = 36259047014400. Its totient is φ = 2697040281600.

The previous prime is 10626646759867. The next prime is 10626646759903. The reversal of 10626646759872 is 27895764662601.

It is a super-2 number, since 2×10626646759872² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10626646759797 and 10626646759806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1921285747 + ... + 1921291277.

It is an arithmetic number, because the mean of its divisors is an integer number (40467686400).

Almost surely, 2^{10626646759872} is an apocalyptic number.

10626646759872 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 10626646759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129523507200).

10626646759872 is an abundant number, since it is smaller than the sum of its proper divisors (25632400254528).

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

10626646759872 is a wasteful number, since it uses less digits than its factorization.

10626646759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 10626646759872 in words is "ten trillion, six hundred twenty-six billion, six hundred forty-six million, seven hundred fifty-nine thousand, eight hundred seventy-two".