35048508241120 has 768 divisors, whose sum is σ = 101923876454400. Its totient is φ = 11223756472320.

The previous prime is 35048508241091. The next prime is 35048508241127. The reversal of 35048508241120 is 2114280584053.

35048508241120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35048508241127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36244578877 + ... + 36244579843.

It is an arithmetic number, because the mean of its divisors is an integer number (132713380800).

Almost surely, 2^{35048508241120} 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 35048508241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50961938227200).

35048508241120 is an abundant number, since it is smaller than the sum of its proper divisors (66875368213280).

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

35048508241120 is a wasteful number, since it uses less digits than its factorization.

35048508241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 35048508241120 in words is "thirty-five trillion, forty-eight billion, five hundred eight million, two hundred forty-one thousand, one hundred twenty".