260253967680 has 896 divisors, whose sum is σ = 1092652892160. Its totient is φ = 57062154240.

The previous prime is 260253967669. The next prime is 260253967733. The reversal of 260253967680 is 86769352062.

260253967680 is a `hidden beast` number, since 26 + 0 + 2 + 539 + 6 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238109214 + ... + 238110306.

Almost surely, 2^260253967680 is an apocalyptic number.

260253967680 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 260253967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546326446080).

260253967680 is an abundant number, since it is smaller than the sum of its proper divisors (832398924480).

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

260253967680 is a wasteful number, since it uses less digits than its factorization.

260253967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 260253967680 in words is "two hundred sixty billion, two hundred fifty-three million, nine hundred sixty-seven thousand, six hundred eighty".