1352768878755 has 80 divisors (see below), whose sum is σ = 2799958392000. Its totient is φ = 612033159168.

The previous prime is 1352768878723. The next prime is 1352768878757. The reversal of 1352768878755 is 5578788672531.

It is a happy number.

1352768878755 is a `hidden beast` number, since 1 + 352 + 76 + 8 + 87 + 87 + 55 = 666.

It is not a de Polignac number, because 1352768878755 - 2⁵ = 1352768878723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1352768878757) 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, 2184630 + ... + 2734619.

It is an arithmetic number, because the mean of its divisors is an integer number (34999479900).

Almost surely, 2^{1352768878755} is an apocalyptic number.

1352768878755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1352768878755 is an abundant number, since it is smaller than the sum of its proper divisors (1447189513245).

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

1352768878755 is an equidigital number, since it uses as much as digits as its factorization.

1352768878755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919370 (or 4919361 counting only the distinct ones).

The product of its digits is 790272000, while the sum is 72.

The spelling of 1352768878755 in words is "one trillion, three hundred fifty-two billion, seven hundred sixty-eight million, eight hundred seventy-eight thousand, seven hundred fifty-five".