35585375420 has 72 divisors (see below), whose sum is σ = 85895515104. Its totient is φ = 12131010432.

The previous prime is 35585375417. The next prime is 35585375479. The reversal of 35585375420 is 2457358553.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4481774 + ... + 4489706.

Almost surely, 2^35585375420 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 35585375420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42947757552).

35585375420 is an abundant number, since it is smaller than the sum of its proper divisors (50310139684).

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

35585375420 is a wasteful number, since it uses less digits than its factorization.

35585375420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 47.

The spelling of 35585375420 in words is "thirty-five billion, five hundred eighty-five million, three hundred seventy-five thousand, four hundred twenty".