260225665920 has 1152 divisors, whose sum is σ = 1070875054080. Its totient is φ = 57679257600.

The previous prime is 260225665897. The next prime is 260225665963. The reversal of 260225665920 is 29566522062.

260225665920 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 2 + 56 + 6 + 592 + 0 = 666.

260225665920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 709061577 + ... + 709061943.

It is an arithmetic number, because the mean of its divisors is an integer number (929579040).

Almost surely, 2^260225665920 is an apocalyptic number.

260225665920 is a gapful number since it is divisible by the number (20) 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 260225665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535437527040).

260225665920 is an abundant number, since it is smaller than the sum of its proper divisors (810649388160).

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

260225665920 is a wasteful number, since it uses less digits than its factorization.

260225665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 260225665920 in words is "two hundred sixty billion, two hundred twenty-five million, six hundred sixty-five thousand, nine hundred twenty".