35105557133152 has 48 divisors (see below), whose sum is σ = 75397998336192. Its totient is φ = 15956894523520.

The previous prime is 35105557133131. The next prime is 35105557133159. The reversal of 35105557133152 is 25133175550153.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35105557133159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34373943 + ... + 35380489.

It is an arithmetic number, because the mean of its divisors is an integer number (1570791632004).

Almost surely, 2^{35105557133152} is an apocalyptic number.

35105557133152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35105557133152 is an abundant number, since it is smaller than the sum of its proper divisors (40292441203040).

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

35105557133152 is a wasteful number, since it uses less digits than its factorization.

35105557133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105651 (or 1105643 counting only the distinct ones).

The product of its (nonzero) digits is 1181250, while the sum is 46.

The spelling of 35105557133152 in words is "thirty-five trillion, one hundred five billion, five hundred fifty-seven million, one hundred thirty-three thousand, one hundred fifty-two".