10726136772 has 192 divisors, whose sum is σ = 29132587008. Its totient is φ = 3047040000.

The previous prime is 10726136761. The next prime is 10726136777. The reversal of 10726136772 is 27763162701.

It is not an unprimeable number, because it can be changed into a prime (10726136777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9318397 + ... + 9319547.

It is an arithmetic number, because the mean of its divisors is an integer number (151732224).

Almost surely, 2^10726136772 is an apocalyptic number.

10726136772 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 10726136772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566293504).

10726136772 is an abundant number, since it is smaller than the sum of its proper divisors (18406450236).

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

10726136772 is a wasteful number, since it uses less digits than its factorization.

10726136772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 10726136772 in words is "ten billion, seven hundred twenty-six million, one hundred thirty-six thousand, seven hundred seventy-two".