35575879998800 has 30 divisors (see below), whose sum is σ = 85471051698078. Its totient is φ = 14230351999360.

The previous prime is 35575879998797. The next prime is 35575879998833. The reversal of 35575879998800 is 889997857553.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11039351792704 + 24536528206096 = 3322552^2 + 4953436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44469849599 + ... + 44469850398.

Almost surely, 2^{35575879998800} is an apocalyptic number.

It is an amenable number.

35575879998800 is an abundant number, since it is smaller than the sum of its proper divisors (49895171699278).

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

35575879998800 is a wasteful number, since it uses less digits than its factorization.

35575879998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88939700015 (or 88939700004 counting only the distinct ones).

The product of its (nonzero) digits is 6858432000, while the sum is 83.

The spelling of 35575879998800 in words is "thirty-five trillion, five hundred seventy-five billion, eight hundred seventy-nine million, nine hundred ninety-eight thousand, eight hundred".