260706533472 has 384 divisors, whose sum is σ = 949061836800. Its totient is φ = 67641868800.

The previous prime is 260706533471. The next prime is 260706533473. The reversal of 260706533472 is 274335607062.

260706533472 is a `hidden beast` number, since 2 + 6 + 0 + 70 + 6 + 533 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (260706533471) and next prime (260706533473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260706533471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87748947 + ... + 87751917.

It is an arithmetic number, because the mean of its divisors is an integer number (2471515200).

Almost surely, 2^260706533472 is an apocalyptic number.

260706533472 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 260706533472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474530918400).

260706533472 is an abundant number, since it is smaller than the sum of its proper divisors (688355303328).

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

260706533472 is a wasteful number, since it uses less digits than its factorization.

260706533472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 260706533472 in words is "two hundred sixty billion, seven hundred six million, five hundred thirty-three thousand, four hundred seventy-two".