35665561008 has 960 divisors, whose sum is σ = 137985454080. Its totient is φ = 8817984000.

The previous prime is 35665561007. The next prime is 35665561031. The reversal of 35665561008 is 80016556653.

35665561008 is a `hidden beast` number, since 35 + 66 + 556 + 1 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35665561007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 584681298 + ... + 584681358.

It is an arithmetic number, because the mean of its divisors is an integer number (143734848).

Almost surely, 2^35665561008 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 35665561008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992727040).

35665561008 is an abundant number, since it is smaller than the sum of its proper divisors (102319893072).

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

35665561008 is a wasteful number, since it uses less digits than its factorization.

35665561008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 35665561008 in words is "thirty-five billion, six hundred sixty-five million, five hundred sixty-one thousand, eight".