260526735360 has 768 divisors, whose sum is σ = 1008442094400. Its totient is φ = 61832429568.

The previous prime is 260526735353. The next prime is 260526735431. The reversal of 260526735360 is 63537625062.

260526735360 is a `hidden beast` number, since 2 + 6 + 0 + 52 + 67 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476282607 + ... + 476283153.

Almost surely, 2^260526735360 is an apocalyptic number.

260526735360 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 260526735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504221047200).

260526735360 is an abundant number, since it is smaller than the sum of its proper divisors (747915359040).

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

260526735360 is a wasteful number, since it uses less digits than its factorization.

260526735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 260526735360 in words is "two hundred sixty billion, five hundred twenty-six million, seven hundred thirty-five thousand, three hundred sixty".