10886572746 has 96 divisors (see below), whose sum is σ = 29050191360. Its totient is φ = 3010089600.

The previous prime is 10886572703. The next prime is 10886572757. The reversal of 10886572746 is 64727568801.

10886572746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10886572692 and 10886572701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15666 + ... + 148386.

It is an arithmetic number, because the mean of its divisors is an integer number (302606160).

Almost surely, 2^10886572746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10886572746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14525095680).

10886572746 is an abundant number, since it is smaller than the sum of its proper divisors (18163618614).

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

10886572746 is a wasteful number, since it uses less digits than its factorization.

10886572746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132777 (or 132764 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10886572746 in words is "ten billion, eight hundred eighty-six million, five hundred seventy-two thousand, seven hundred forty-six".