35112085472 has 48 divisors (see below), whose sum is σ = 71881493040. Its totient is φ = 16862748672.

The previous prime is 35112085457. The next prime is 35112085507. The reversal of 35112085472 is 27458021153.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81083 + ... + 277125.

It is an arithmetic number, because the mean of its divisors is an integer number (1497531105).

Almost surely, 2^35112085472 is an apocalyptic number.

35112085472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35112085472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35940746520).

35112085472 is an abundant number, since it is smaller than the sum of its proper divisors (36769407568).

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

35112085472 is a wasteful number, since it uses less digits than its factorization.

35112085472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196275 (or 196267 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 35112085472 in words is "thirty-five billion, one hundred twelve million, eighty-five thousand, four hundred seventy-two".