10677248512 has 80 divisors (see below), whose sum is σ = 25664696640. Its totient is φ = 4335095808.

The previous prime is 10677248509. The next prime is 10677248513. The reversal of 10677248512 is 21584277601.

It is a super-2 number, since 2×10677248512² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10677248513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10303 + ... + 146494.

It is an arithmetic number, because the mean of its divisors is an integer number (320808708).

Almost surely, 2^10677248512 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 10677248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832348320).

10677248512 is an abundant number, since it is smaller than the sum of its proper divisors (14987448128).

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

10677248512 is an equidigital number, since it uses as much as digits as its factorization.

10677248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156841 (or 156825 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 10677248512 in words is "ten billion, six hundred seventy-seven million, two hundred forty-eight thousand, five hundred twelve".