10671286976 has 56 divisors (see below), whose sum is σ = 24234282240. Its totient is φ = 4567110912.

The previous prime is 10671286963. The next prime is 10671286979. The reversal of 10671286976 is 67968217601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10671286976² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10671286979) 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, 316835 + ... + 348893.

It is an arithmetic number, because the mean of its divisors is an integer number (432755040).

Almost surely, 2^10671286976 is an apocalyptic number.

10671286976 is a gapful number since it is divisible by the number (16) 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 10671286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117141120).

10671286976 is an abundant number, since it is smaller than the sum of its proper divisors (13562995264).

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

10671286976 is an equidigital number, since it uses as much as digits as its factorization.

10671286976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32821 (or 32811 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 10671286976 in words is "ten billion, six hundred seventy-one million, two hundred eighty-six thousand, nine hundred seventy-six".