10511644052 has 144 divisors (see below), whose sum is σ = 24127229952. Its totient is φ = 3967004160.

The previous prime is 10511644049. The next prime is 10511644057. The reversal of 10511644052 is 25044611501.

10511644052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10511644052² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511644057) by changing a digit.

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, 5765213 + ... + 5767035.

It is an arithmetic number, because the mean of its divisors is an integer number (167550208).

Almost surely, 2^10511644052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10511644052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12063614976).

10511644052 is an abundant number, since it is smaller than the sum of its proper divisors (13615585900).

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

10511644052 is a wasteful number, since it uses less digits than its factorization.

10511644052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 10511644052 in words is "ten billion, five hundred eleven million, six hundred forty-four thousand, fifty-two".