35065122725248 has 192 divisors, whose sum is σ = 88238242179360. Its totient is φ = 13586249318400.

The previous prime is 35065122725207. The next prime is 35065122725287. The reversal of 35065122725248 is 84252722156053.

It is a junction number, because it is equal to n+sod(n) for n = 35065122725195 and 35065122725204.

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 23 ways as a sum of consecutive naturals, for example, 18729840 + ... + 20516752.

Almost surely, 2^{35065122725248} 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 35065122725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44119121089680).

35065122725248 is an abundant number, since it is smaller than the sum of its proper divisors (53173119454112).

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

35065122725248 is a wasteful number, since it uses less digits than its factorization.

35065122725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787137 (or 1787114 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 35065122725248 in words is "thirty-five trillion, sixty-five billion, one hundred twenty-two million, seven hundred twenty-five thousand, two hundred forty-eight".