10677513472 has 72 divisors (see below), whose sum is σ = 21552128136. Its totient is φ = 5279318016.

The previous prime is 10677513461. The next prime is 10677513479. The reversal of 10677513472 is 27431577601.

It is a happy number.

10677513472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2166343936 + 8511169536 = 46544^2 + 92256^2 .

It is a super-2 number, since 2×10677513472² (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 (10677513479) 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 7 ways as a sum of consecutive naturals, for example, 9732828 + ... + 9733924.

It is an arithmetic number, because the mean of its divisors is an integer number (299335113).

Almost surely, 2^10677513472 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 10677513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10776064068).

10677513472 is an abundant number, since it is smaller than the sum of its proper divisors (10874614664).

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

10677513472 is a wasteful number, since it uses less digits than its factorization.

10677513472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 10677513472 in words is "ten billion, six hundred seventy-seven million, five hundred thirteen thousand, four hundred seventy-two".