3556058112000 has 1344 divisors, whose sum is σ = 13753440949248. Its totient is φ = 915701760000.

The previous prime is 3556058111981. The next prime is 3556058112053. The reversal of 3556058112000 is 2118506553.

It is a happy number.

3556058112000 is a `hidden beast` number, since 3 + 5 + 5 + 60 + 581 + 12 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7713791770 + ... + 7713792230.

It is an arithmetic number, because the mean of its divisors is an integer number (10233214992).

Almost surely, 2^{3556058112000} is an apocalyptic number.

3556058112000 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 3556058112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876720474624).

3556058112000 is an abundant number, since it is smaller than the sum of its proper divisors (10197382837248).

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

3556058112000 is an frugal number, since it uses more digits than its factorization.

3556058112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 3556058112000 in words is "three trillion, five hundred fifty-six billion, fifty-eight million, one hundred twelve thousand".