1260840837168 has 240 divisors, whose sum is σ = 3979770278400. Its totient is φ = 381902716800.

The previous prime is 1260840837167. The next prime is 1260840837187. The reversal of 1260840837168 is 8617380480621.

1260840837168 is a `hidden beast` number, since 1 + 260 + 8 + 4 + 0 + 8 + 371 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1260840837167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166796173 + ... + 166803731.

It is an arithmetic number, because the mean of its divisors is an integer number (16582376160).

Almost surely, 2^{1260840837168} is an apocalyptic number.

1260840837168 is a gapful number since it is divisible by the number (18) 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 1260840837168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989885139200).

1260840837168 is an abundant number, since it is smaller than the sum of its proper divisors (2718929441232).

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

1260840837168 is a wasteful number, since it uses less digits than its factorization.

1260840837168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1260840837168 in words is "one trillion, two hundred sixty billion, eight hundred forty million, eight hundred thirty-seven thousand, one hundred sixty-eight".