260893601674752 has 320 divisors, whose sum is σ = 774997059513600. Its totient is φ = 77506801827840.

The previous prime is 260893601674709. The next prime is 260893601674781. The reversal of 260893601674752 is 257476106398062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131552699 + ... + 1131783237.

It is an arithmetic number, because the mean of its divisors is an integer number (2421865810980).

It is a 1-persistent number, because it is pandigital, but 2⋅260893601674752 = 521787203349504 is not.

Almost surely, 2^{260893601674752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260893601674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387498529756800).

260893601674752 is an abundant number, since it is smaller than the sum of its proper divisors (514103457838848).

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

260893601674752 is a wasteful number, since it uses less digits than its factorization.

260893601674752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232877 (or 232861 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 260893601674752 in words is "two hundred sixty trillion, eight hundred ninety-three billion, six hundred one million, six hundred seventy-four thousand, seven hundred fifty-two".