260086028841408 has 1792 divisors, whose sum is σ = 941957119180800. Its totient is φ = 61444707287040.

The previous prime is 260086028841341. The next prime is 260086028841427. The reversal of 260086028841408 is 804148820680062.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 380799456235 + ... + 380799456917.

Almost surely, 2^{260086028841408} is an apocalyptic number.

260086028841408 is a gapful number since it is divisible by the number (28) 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 260086028841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470978559590400).

260086028841408 is an abundant number, since it is smaller than the sum of its proper divisors (681871090339392).

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

260086028841408 is a wasteful number, since it uses less digits than its factorization.

260086028841408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 57.

The spelling of 260086028841408 in words is "two hundred sixty trillion, eighty-six billion, twenty-eight million, eight hundred forty-one thousand, four hundred eight".