35200400604066 has 12 divisors (see below), whose sum is σ = 76267534642182. Its totient is φ = 11733466868016.

The previous prime is 35200400604037. The next prime is 35200400604067. The reversal of 35200400604066 is 66040600400253.

35200400604066 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 0 + 40 + 0 + 604 + 0 + 6 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21750834560841 + 13449566043225 = 4663779^2 + 3667365^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 35200400604066.

It is not an unprimeable number, because it can be changed into a prime (35200400604067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 977788905651 + ... + 977788905686.

Almost surely, 2^{35200400604066} is an apocalyptic number.

35200400604066 is an abundant number, since it is smaller than the sum of its proper divisors (41067134038116).

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

35200400604066 is a wasteful number, since it uses less digits than its factorization.

35200400604066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955577811345 (or 1955577811342 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 35200400604066 in words is "thirty-five trillion, two hundred billion, four hundred million, six hundred four thousand, sixty-six".