1268791993728 has 320 divisors, whose sum is σ = 4319082900000. Its totient is φ = 362195877888.

The previous prime is 1268791993727. The next prime is 1268791993757. The reversal of 1268791993728 is 8273991978621.

1268791993728 is a `hidden beast` number, since 1 + 2 + 6 + 87 + 91 + 99 + 372 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268791993727) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 90640426 + ... + 90654422.

Almost surely, 2^{1268791993728} is an apocalyptic number.

1268791993728 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 1268791993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159541450000).

1268791993728 is an abundant number, since it is smaller than the sum of its proper divisors (3050290906272).

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

1268791993728 is a wasteful number, since it uses less digits than its factorization.

1268791993728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15279 (or 15258 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 72.

The spelling of 1268791993728 in words is "one trillion, two hundred sixty-eight billion, seven hundred ninety-one million, nine hundred ninety-three thousand, seven hundred twenty-eight".