10523643768 has 192 divisors, whose sum is σ = 32419296000. Its totient is φ = 3171674880.

The previous prime is 10523643763. The next prime is 10523643827. The reversal of 10523643768 is 86734632501.

10523643768 is a `hidden beast` number, since 1 + 0 + 523 + 64 + 3 + 7 + 68 = 666.

It is a super-3 number, since 3×10523643768³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523643761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4254180 + ... + 4256652.

It is an arithmetic number, because the mean of its divisors is an integer number (168850500).

Almost surely, 2^10523643768 is an apocalyptic number.

10523643768 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 10523643768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209648000).

10523643768 is an abundant number, since it is smaller than the sum of its proper divisors (21895652232).

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

10523643768 is a wasteful number, since it uses less digits than its factorization.

10523643768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10523643768 in words is "ten billion, five hundred twenty-three million, six hundred forty-three thousand, seven hundred sixty-eight".