3565535500800 has 5040 divisors, whose sum is σ = 18268423335360. Its totient is φ = 670771445760.

The previous prime is 3565535500763. The next prime is 3565535500823. The reversal of 3565535500800 is 80055355653.

3565535500800 is a `hidden beast` number, since 3 + 5 + 65 + 5 + 3 + 5 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 187659763191 + ... + 187659763209.

Almost surely, 2^{3565535500800} is an apocalyptic number.

3565535500800 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 3565535500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134211667680).

3565535500800 is an abundant number, since it is smaller than the sum of its proper divisors (14702887834560).

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

3565535500800 is a wasteful number, since it uses less digits than its factorization.

3565535500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 3565535500800 in words is "three trillion, five hundred sixty-five billion, five hundred thirty-five million, five hundred thousand, eight hundred".