35125264416 has 192 divisors, whose sum is σ = 102395543040. Its totient is φ = 10454261760.

The previous prime is 35125264373. The next prime is 35125264417. The reversal of 35125264416 is 61446252153.

It is not an unprimeable number, because it can be changed into a prime (35125264417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14236815 + ... + 14239281.

It is an arithmetic number, because the mean of its divisors is an integer number (533310120).

Almost surely, 2^35125264416 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 35125264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51197771520).

35125264416 is an abundant number, since it is smaller than the sum of its proper divisors (67270278624).

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

35125264416 is a wasteful number, since it uses less digits than its factorization.

35125264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2719 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The spelling of 35125264416 in words is "thirty-five billion, one hundred twenty-five million, two hundred sixty-four thousand, four hundred sixteen".