3058542789120 has 1920 divisors, whose sum is σ = 13683795181056. Its totient is φ = 637519527936.

The previous prime is 3058542789101. The next prime is 3058542789227. The reversal of 3058542789120 is 219872458503.

3058542789120 is a `hidden beast` number, since 3 + 0 + 5 + 8 + 542 + 7 + 8 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5491099882 + ... + 5491100438.

Almost surely, 2^{3058542789120} is an apocalyptic number.

3058542789120 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 3058542789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841897590528).

3058542789120 is an abundant number, since it is smaller than the sum of its proper divisors (10625252391936).

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

3058542789120 is an equidigital number, since it uses as much as digits as its factorization.

3058542789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 3058542789120 in words is "three trillion, fifty-eight billion, five hundred forty-two million, seven hundred eighty-nine thousand, one hundred twenty".