260640488160 has 288 divisors, whose sum is σ = 990885299040. Its totient is φ = 61945196544.

The previous prime is 260640488083. The next prime is 260640488183. The reversal of 260640488160 is 61884046062.

260640488160 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 4 + 0 + 488 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 302827 + ... + 782933.

It is an arithmetic number, because the mean of its divisors is an integer number (3440573955).

Almost surely, 2^260640488160 is an apocalyptic number.

260640488160 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 260640488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495442649520).

260640488160 is an abundant number, since it is smaller than the sum of its proper divisors (730244810880).

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

260640488160 is a wasteful number, since it uses less digits than its factorization.

260640488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480170 (or 480159 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 260640488160 in words is "two hundred sixty billion, six hundred forty million, four hundred eighty-eight thousand, one hundred sixty".