10448567976 has 256 divisors, whose sum is σ = 33525135360. Its totient is φ = 2635176960.

The previous prime is 10448567957. The next prime is 10448567981. The reversal of 10448567976 is 67976584401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10479510 + ... + 10480506.

It is an arithmetic number, because the mean of its divisors is an integer number (130957560).

Almost surely, 2^10448567976 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 10448567976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762567680).

10448567976 is an abundant number, since it is smaller than the sum of its proper divisors (23076567384).

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

10448567976 is a wasteful number, since it uses less digits than its factorization.

10448567976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 10448567976 in words is "ten billion, four hundred forty-eight million, five hundred sixty-seven thousand, nine hundred seventy-six".