1268101143360 has 672 divisors, whose sum is σ = 4801439784960. Its totient is φ = 305761775616.

The previous prime is 1268101143329. The next prime is 1268101143373. The reversal of 1268101143360 is 633411018621.

1268101143360 is a `hidden beast` number, since 1 + 2 + 68 + 101 + 1 + 433 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 809253297 + ... + 809254863.

It is an arithmetic number, because the mean of its divisors is an integer number (7144999680).

Almost surely, 2^{1268101143360} is an apocalyptic number.

1268101143360 is a gapful number since it is divisible by the number (10) 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 1268101143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400719892480).

1268101143360 is an abundant number, since it is smaller than the sum of its proper divisors (3533338641600).

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

1268101143360 is a wasteful number, since it uses less digits than its factorization.

1268101143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1268101143360 in words is "one trillion, two hundred sixty-eight billion, one hundred one million, one hundred forty-three thousand, three hundred sixty".