260263286972928 has 480 divisors, whose sum is σ = 762738206630400. Its totient is φ = 85424877600768.

The previous prime is 260263286972863. The next prime is 260263286972947. The reversal of 260263286972928 is 829279682362062.

260263286972928 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 6 + 328 + 6 + 9 + 7 + 292 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 79859859363 + ... + 79859862621.

It is an arithmetic number, because the mean of its divisors is an integer number (1589037930480).

Almost surely, 2^{260263286972928} 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 260263286972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381369103315200).

260263286972928 is an abundant number, since it is smaller than the sum of its proper divisors (502474919657472).

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

260263286972928 is a wasteful number, since it uses less digits than its factorization.

260263286972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 260263286972928 in words is "two hundred sixty trillion, two hundred sixty-three billion, two hundred eighty-six million, nine hundred seventy-two thousand, nine hundred twenty-eight".