35135012104000 has 56 divisors (see below), whose sum is σ = 87011857495368. Its totient is φ = 14054004838400.

The previous prime is 35135012103967. The next prime is 35135012104043. The reversal of 35135012104000 is 40121053153.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 700743106816 + 34434268997184 = 837104^2 + 5868072^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2195930257 + ... + 2195946256.

Almost surely, 2^{35135012104000} is an apocalyptic number.

It is an amenable number.

35135012104000 is an abundant number, since it is smaller than the sum of its proper divisors (51876845391368).

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

35135012104000 is an equidigital number, since it uses as much as digits as its factorization.

35135012104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391876540 (or 4391876520 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 35135012104000 its reverse (40121053153), we get a palindrome (35175133157153).

The spelling of 35135012104000 in words is "thirty-five trillion, one hundred thirty-five billion, twelve million, one hundred four thousand".