6058838403072 has 960 divisors, whose sum is σ = 22730932224000. Its totient is φ = 1597740318720.

The previous prime is 6058838403053. The next prime is 6058838403077. The reversal of 6058838403072 is 2703048388506.

6058838403072 is a `hidden beast` number, since 60 + 5 + 88 + 38 + 403 + 0 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6058838403077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 739690497 + ... + 739698687.

It is an arithmetic number, because the mean of its divisors is an integer number (23678054400).

Almost surely, 2^{6058838403072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6058838403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365466112000).

6058838403072 is an abundant number, since it is smaller than the sum of its proper divisors (16672093820928).

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

6058838403072 is an equidigital number, since it uses as much as digits as its factorization.

6058838403072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 6058838403072 in words is "six trillion, fifty-eight billion, eight hundred thirty-eight million, four hundred three thousand, seventy-two".