10523868960 has 384 divisors, whose sum is σ = 39731005440. Its totient is φ = 2311372800.

The previous prime is 10523868959. The next prime is 10523868973. The reversal of 10523868960 is 6986832501.

It is a happy number.

10523868960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10523868960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 2305080 + ... + 2309640.

It is an arithmetic number, because the mean of its divisors is an integer number (103466160).

Almost surely, 2^10523868960 is an apocalyptic number.

10523868960 is a gapful number since it is divisible by the number (10) 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 10523868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865502720).

10523868960 is an abundant number, since it is smaller than the sum of its proper divisors (29207136480).

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

10523868960 is a wasteful number, since it uses less digits than its factorization.

10523868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 10523868960 in words is "ten billion, five hundred twenty-three million, eight hundred sixty-eight thousand, nine hundred sixty".