10523656260 has 288 divisors, whose sum is σ = 35487728640. Its totient is φ = 2508005376.

The previous prime is 10523656249. The next prime is 10523656261. The reversal of 10523656260 is 6265632501.

It is a happy number.

10523656260 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 36 + 562 + 60 = 666.

It is a super-2 number, since 2×10523656260² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10523656261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11327476 + ... + 11328404.

It is an arithmetic number, because the mean of its divisors is an integer number (123221280).

Almost surely, 2^10523656260 is an apocalyptic number.

10523656260 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 10523656260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743864320).

10523656260 is an abundant number, since it is smaller than the sum of its proper divisors (24964072380).

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

10523656260 is a wasteful number, since it uses less digits than its factorization.

10523656260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10523656260 in words is "ten billion, five hundred twenty-three million, six hundred fifty-six thousand, two hundred sixty".