35164420020 has 144 divisors (see below), whose sum is σ = 107265941328. Its totient is φ = 9324564480.

The previous prime is 35164420007. The next prime is 35164420079. The reversal of 35164420020 is 2002446153.

It can be written as a sum of positive squares in 8 ways, for example, as 840188196 + 34324231824 = 28986^2 + 185268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40095822 + ... + 40096698.

Almost surely, 2^35164420020 is an apocalyptic number.

35164420020 is a gapful number since it is divisible by the number (30) 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 35164420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53632970664).

35164420020 is an abundant number, since it is smaller than the sum of its proper divisors (72101521308).

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

35164420020 is a wasteful number, since it uses less digits than its factorization.

35164420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 35164420020 its reverse (2002446153), we get a palindrome (37166866173).

The spelling of 35164420020 in words is "thirty-five billion, one hundred sixty-four million, four hundred twenty thousand, twenty".