10448824877568 has 1440 divisors, whose sum is σ = 41878960200000. Its totient is φ = 2553993953280.

The previous prime is 10448824877521. The next prime is 10448824877581. The reversal of 10448824877568 is 86577842884401.

10448824877568 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 8 + 82 + 487 + 7 + 5 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10448824877496 and 10448824877505.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1393358683 + ... + 1393366181.

It is an arithmetic number, because the mean of its divisors is an integer number (29082611250).

Almost surely, 2^{10448824877568} is an apocalyptic number.

10448824877568 is a gapful number since it is divisible by the number (18) 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 10448824877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20939480100000).

10448824877568 is an abundant number, since it is smaller than the sum of its proper divisors (31430135322432).

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

10448824877568 is a wasteful number, since it uses less digits than its factorization.

10448824877568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 770703360, while the sum is 72.

The spelling of 10448824877568 in words is "ten trillion, four hundred forty-eight billion, eight hundred twenty-four million, eight hundred seventy-seven thousand, five hundred sixty-eight".