260728191360 has 2048 divisors, whose sum is σ = 1214051328000. Its totient is φ = 52027785216.

The previous prime is 260728191349. The next prime is 260728191371. The reversal of 260728191360 is 63191827062.

260728191360 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 281 + 9 + 1 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (260728191349) and next prime (260728191371).

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 255 ways as a sum of consecutive naturals, for example, 2929530196 + ... + 2929530284.

It is an arithmetic number, because the mean of its divisors is an integer number (592798500).

Almost surely, 2^260728191360 is an apocalyptic number.

260728191360 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 260728191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607025664000).

260728191360 is an abundant number, since it is smaller than the sum of its proper divisors (953323136640).

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

260728191360 is an equidigital number, since it uses as much as digits as its factorization.

260728191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 260728191360 in words is "two hundred sixty billion, seven hundred twenty-eight million, one hundred ninety-one thousand, three hundred sixty".