1268515291680 has 768 divisors, whose sum is σ = 5752006041600. Its totient is φ = 253554831360.

The previous prime is 1268515291669. The next prime is 1268515291691. The reversal of 1268515291680 is 861925158621.

1268515291680 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 51 + 529 + 1 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1268515291669) and next prime (1268515291691).

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7384365 + ... + 7554195.

It is an arithmetic number, because the mean of its divisors is an integer number (7489591200).

Almost surely, 2^{1268515291680} is an apocalyptic number.

1268515291680 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 1268515291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876003020800).

1268515291680 is an abundant number, since it is smaller than the sum of its proper divisors (4483490749920).

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

1268515291680 is a wasteful number, since it uses less digits than its factorization.

1268515291680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169894 (or 169880 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 1268515291680 in words is "one trillion, two hundred sixty-eight billion, five hundred fifteen million, two hundred ninety-one thousand, six hundred eighty".