260526575232 has 1536 divisors, whose sum is σ = 1043623526400. Its totient is φ = 63228211200.

The previous prime is 260526575219. The next prime is 260526575297. The reversal of 260526575232 is 232575625062.

260526575232 is a `hidden beast` number, since 2 + 6 + 0 + 52 + 6 + 575 + 23 + 2 = 666.

It is a super-2 number, since 2×260526575232² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8404083057 + ... + 8404083087.

It is an arithmetic number, because the mean of its divisors is an integer number (679442400).

Almost surely, 2^260526575232 is an apocalyptic number.

260526575232 is a gapful number since it is divisible by the number (22) 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 260526575232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521811763200).

260526575232 is an abundant number, since it is smaller than the sum of its proper divisors (783096951168).

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

260526575232 is an equidigital number, since it uses as much as digits as its factorization.

260526575232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 260526575232 in words is "two hundred sixty billion, five hundred twenty-six million, five hundred seventy-five thousand, two hundred thirty-two".