35755988878848 has 800 divisors, whose sum is σ = 115158370330080. Its totient is φ = 9851130347520.

The previous prime is 35755988878843. The next prime is 35755988878873. The reversal of 35755988878848 is 84887888955753.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35755988878843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13457277136 + ... + 13457279792.

Almost surely, 2^{35755988878848} 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 35755988878848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57579185165040).

35755988878848 is an abundant number, since it is smaller than the sum of its proper divisors (79402381451232).

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

35755988878848 is an frugal number, since it uses more digits than its factorization.

35755988878848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2799 counting only the distinct ones).

The product of its digits is 173408256000, while the sum is 93.

The spelling of 35755988878848 in words is "thirty-five trillion, seven hundred fifty-five billion, nine hundred eighty-eight million, eight hundred seventy-eight thousand, eight hundred forty-eight".