10523585610 has 80 divisors (see below), whose sum is σ = 28382964192. Its totient is φ = 2797740000.

The previous prime is 10523585603. The next prime is 10523585629. The reversal of 10523585610 is 1658532501.

It is a happy number.

10523585610 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 35 + 8 + 5 + 610 = 666.

10523585610 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10523585610² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248485 + ... + 287735.

Almost surely, 2^10523585610 is an apocalyptic number.

10523585610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10523585610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191482096).

10523585610 is an abundant number, since it is smaller than the sum of its proper divisors (17859378582).

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

10523585610 is a wasteful number, since it uses less digits than its factorization.

10523585610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39601 (or 39592 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10523585610 in words is "ten billion, five hundred twenty-three million, five hundred eighty-five thousand, six hundred ten".