10726062509820 has 192 divisors, whose sum is σ = 36201737134080. Its totient is φ = 2318017658112.

The previous prime is 10726062509737. The next prime is 10726062509863. The reversal of 10726062509820 is 2890526062701.

It is a super-2 number, since 2×10726062509820² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10726062509820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2677839 + ... + 5350041.

It is an arithmetic number, because the mean of its divisors is an integer number (188550714240).

Almost surely, 2^{10726062509820} is an apocalyptic number.

10726062509820 is a gapful number since it is divisible by the number (10) 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 10726062509820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100868567040).

10726062509820 is an abundant number, since it is smaller than the sum of its proper divisors (25475674624260).

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

10726062509820 is a wasteful number, since it uses less digits than its factorization.

10726062509820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672744 (or 2672742 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 10726062509820 in words is "ten trillion, seven hundred twenty-six billion, sixty-two million, five hundred nine thousand, eight hundred twenty".