10666677252 has 96 divisors (see below), whose sum is σ = 31051367424. Its totient is φ = 2768688000.

The previous prime is 10666677209. The next prime is 10666677269. The reversal of 10666677252 is 25277666601.

It is a super-2 number, since 2×10666677252² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820127 + ... + 1825977.

It is an arithmetic number, because the mean of its divisors is an integer number (323451744).

Almost surely, 2^10666677252 is an apocalyptic number.

10666677252 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 10666677252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15525683712).

10666677252 is an abundant number, since it is smaller than the sum of its proper divisors (20384690172).

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

10666677252 is a wasteful number, since it uses less digits than its factorization.

10666677252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 10666677252 in words is "ten billion, six hundred sixty-six million, six hundred seventy-seven thousand, two hundred fifty-two".