35052505104 has 80 divisors (see below), whose sum is σ = 93037170240. Its totient is φ = 11367628800.

The previous prime is 35052505099. The next prime is 35052505133. The reversal of 35052505104 is 40150525053.

It is a happy number.

It is a super-2 number, since 2×35052505104² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 210904 + ... + 338504.

It is an arithmetic number, because the mean of its divisors is an integer number (1162964628).

Almost surely, 2^35052505104 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 35052505104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46518585120).

35052505104 is an abundant number, since it is smaller than the sum of its proper divisors (57984665136).

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

35052505104 is a wasteful number, since it uses less digits than its factorization.

35052505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127768 (or 127762 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 35052505104 in words is "thirty-five billion, fifty-two million, five hundred five thousand, one hundred four".