260286028629120 has 1024 divisors, whose sum is σ = 1036215510220800. Its totient is φ = 61267315507200.

The previous prime is 260286028629119. The next prime is 260286028629139. The reversal of 260286028629120 is 21926820682062.

It is a happy number.

260286028629120 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 8 + 6 + 0 + 2 + 8 + 629 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32090493865 + ... + 32090501975.

It is an arithmetic number, because the mean of its divisors is an integer number (1011929209200).

Almost surely, 2^{260286028629120} is an apocalyptic number.

260286028629120 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 260286028629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518107755110400).

260286028629120 is an abundant number, since it is smaller than the sum of its proper divisors (775929481591680).

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

260286028629120 is a wasteful number, since it uses less digits than its factorization.

260286028629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14386 (or 14368 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 260286028629120 in words is "two hundred sixty trillion, two hundred eighty-six billion, twenty-eight million, six hundred twenty-nine thousand, one hundred twenty".