35666636116100 has 72 divisors (see below), whose sum is σ = 84433594341600. Its totient is φ = 12969541561600.

The previous prime is 35666636116079. The next prime is 35666636116193. The reversal of 35666636116100 is 161163666653.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186749456 + ... + 186940344.

It is an arithmetic number, because the mean of its divisors is an integer number (1172688810300).

Almost surely, 2^{35666636116100} is an apocalyptic number.

It is an amenable number.

35666636116100 is an abundant number, since it is smaller than the sum of its proper divisors (48766958225500).

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

35666636116100 is a wasteful number, since it uses less digits than its factorization.

35666636116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360773 (or 360766 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 50.

The spelling of 35666636116100 in words is "thirty-five trillion, six hundred sixty-six billion, six hundred thirty-six million, one hundred sixteen thousand, one hundred".