10646526852 has 72 divisors (see below), whose sum is σ = 29053595480. Its totient is φ = 3267786240.

The previous prime is 10646526851. The next prime is 10646526859. The reversal of 10646526852 is 25862564601.

10646526852 is a `hidden beast` number, since 1 + 0 + 6 + 46 + 526 + 85 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 310957956 + 10335568896 = 17634^2 + 101664^2 .

It is a super-2 number, since 2×10646526852² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10646526798 and 10646526807.

It is not an unprimeable number, because it can be changed into a prime (10646526851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163602 + ... + 219222.

Almost surely, 2^10646526852 is an apocalyptic number.

10646526852 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 10646526852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526797740).

10646526852 is an abundant number, since it is smaller than the sum of its proper divisors (18407068628).

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

10646526852 is a wasteful number, since it uses less digits than its factorization.

10646526852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56053 (or 56048 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10646526852 in words is "ten billion, six hundred forty-six million, five hundred twenty-six thousand, eight hundred fifty-two".