1353777868782 has 160 divisors (see below), whose sum is σ = 3211133777280. Its totient is φ = 425104511040.

The previous prime is 1353777868757. The next prime is 1353777868787. The reversal of 1353777868782 is 2878687773531.

1353777868782 is a `hidden beast` number, since 1 + 3 + 537 + 7 + 7 + 8 + 6 + 8 + 7 + 82 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1353777868782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353777868787) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 455662557 + ... + 455665527.

It is an arithmetic number, because the mean of its divisors is an integer number (20069586108).

Almost surely, 2^{1353777868782} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353777868782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605566888640).

1353777868782 is an abundant number, since it is smaller than the sum of its proper divisors (1857355908498).

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

1353777868782 is a wasteful number, since it uses less digits than its factorization.

1353777868782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3779 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

The spelling of 1353777868782 in words is "one trillion, three hundred fifty-three billion, seven hundred seventy-seven million, eight hundred sixty-eight thousand, seven hundred eighty-two".