3585057855552 has 112 divisors (see below), whose sum is σ = 10540221825280. Its totient is φ = 1194926805504.

The previous prime is 3585057855539. The next prime is 3585057855611. The reversal of 3585057855552 is 2555587505853.

It is a happy number.

3585057855552 is a `hidden beast` number, since 3 + 5 + 8 + 5 + 0 + 5 + 78 + 5 + 5 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3585057855552.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24417753 + ... + 24564135.

It is an arithmetic number, because the mean of its divisors is an integer number (94109123440).

Almost surely, 2^{3585057855552} is an apocalyptic number.

3585057855552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3585057855552 is an abundant number, since it is smaller than the sum of its proper divisors (6955163969728).

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

3585057855552 is a wasteful number, since it uses less digits than its factorization.

3585057855552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160577 (or 160561 counting only the distinct ones).

The product of its (nonzero) digits is 210000000, while the sum is 63.

The spelling of 3585057855552 in words is "three trillion, five hundred eighty-five billion, fifty-seven million, eight hundred fifty-five thousand, five hundred fifty-two".