260957241864 has 640 divisors, whose sum is σ = 879976120320. Its totient is φ = 71327692800.

The previous prime is 260957241859. The next prime is 260957241871. The reversal of 260957241864 is 468142759062.

260957241864 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 572 + 4 + 1 + 8 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 260957241864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 477069639 + ... + 477070185.

It is an arithmetic number, because the mean of its divisors is an integer number (1374962688).

Almost surely, 2^260957241864 is an apocalyptic number.

260957241864 is a gapful number since it is divisible by the number (24) 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 260957241864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439988060160).

260957241864 is an abundant number, since it is smaller than the sum of its proper divisors (619018878456).

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

260957241864 is a wasteful number, since it uses less digits than its factorization.

260957241864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 260957241864 in words is "two hundred sixty billion, nine hundred fifty-seven million, two hundred forty-one thousand, eight hundred sixty-four".