10525282560 has 864 divisors, whose sum is σ = 43123167360. Its totient is φ = 2436562944.

The previous prime is 10525282549. The next prime is 10525282567. The reversal of 10525282560 is 6528252501.

It is a happy number.

10525282560 is a `hidden beast` number, since 1 + 0 + 52 + 528 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10525282560² (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 (10525282567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76826812 + ... + 76826948.

Almost surely, 2^10525282560 is an apocalyptic number.

10525282560 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 10525282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561583680).

10525282560 is an abundant number, since it is smaller than the sum of its proper divisors (32597884800).

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

10525282560 is a wasteful number, since it uses less digits than its factorization.

10525282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10525282560 in words is "ten billion, five hundred twenty-five million, two hundred eighty-two thousand, five hundred sixty".