3575543505120 has 144 divisors (see below), whose sum is σ = 12223450774080. Its totient is φ = 951766244352.

The previous prime is 3575543505059. The next prime is 3575543505133. The reversal of 3575543505120 is 215053455753.

3575543505120 is a `hidden beast` number, since 3 + 5 + 7 + 5 + 543 + 50 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3575543505120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 1426840 + ... + 3030999.

It is an arithmetic number, because the mean of its divisors is an integer number (84885074820).

Almost surely, 2^{3575543505120} is an apocalyptic number.

3575543505120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3575543505120 is an abundant number, since it is smaller than the sum of its proper divisors (8647907268960).

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

3575543505120 is a wasteful number, since it uses less digits than its factorization.

3575543505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458417 (or 4458406 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 45.

The spelling of 3575543505120 in words is "three trillion, five hundred seventy-five billion, five hundred forty-three million, five hundred five thousand, one hundred twenty".