1253768678784 has 640 divisors, whose sum is σ = 4031304979680. Its totient is φ = 386983526400.

The previous prime is 1253768678749. The next prime is 1253768678821. The reversal of 1253768678784 is 4878768673521.

1253768678784 is a `hidden beast` number, since 1 + 2 + 537 + 6 + 8 + 6 + 7 + 8 + 7 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3126604984 + ... + 3126605384.

Almost surely, 2^{1253768678784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253768678784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015652489840).

1253768678784 is an abundant number, since it is smaller than the sum of its proper divisors (2777536300896).

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

1253768678784 is an frugal number, since it uses more digits than its factorization.

1253768678784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 496 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 1253768678784 in words is "one trillion, two hundred fifty-three billion, seven hundred sixty-eight million, six hundred seventy-eight thousand, seven hundred eighty-four".