10523576448 has 768 divisors, whose sum is σ = 40327372800. Its totient is φ = 2554675200.

The previous prime is 10523576443. The next prime is 10523576449. The reversal of 10523576448 is 84467532501.

10523576448 is a `hidden beast` number, since 10 + 5 + 23 + 576 + 4 + 48 = 666.

It is a super-2 number, since 2×10523576448² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10523576443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118242388 + ... + 118242476.

It is an arithmetic number, because the mean of its divisors is an integer number (52509600).

Almost surely, 2^10523576448 is an apocalyptic number.

10523576448 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 10523576448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20163686400).

10523576448 is an abundant number, since it is smaller than the sum of its proper divisors (29803796352).

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

10523576448 is a wasteful number, since it uses less digits than its factorization.

10523576448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10523576448 in words is "ten billion, five hundred twenty-three million, five hundred seventy-six thousand, four hundred forty-eight".