5958084667392 has 2016 divisors, whose sum is σ = 22001772592800. Its totient is φ = 1600248545280.

The previous prime is 5958084667369. The next prime is 5958084667427. The reversal of 5958084667392 is 2937664808595.

It is a happy number.

5958084667392 is a `hidden beast` number, since 5 + 9 + 5 + 8 + 0 + 8 + 466 + 73 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5958084667392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 100984485859 + ... + 100984485917.

It is an arithmetic number, because the mean of its divisors is an integer number (10913577675).

Almost surely, 2^{5958084667392} is an apocalyptic number.

5958084667392 is a gapful number since it is divisible by the number (52) 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 5958084667392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11000886296400).

5958084667392 is an abundant number, since it is smaller than the sum of its proper divisors (16043687925408).

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

5958084667392 is a wasteful number, since it uses less digits than its factorization.

5958084667392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

It can be divided in two parts, 5958084 and 667392, that added together give a square (6625476 = 2574²).

The spelling of 5958084667392 in words is "five trillion, nine hundred fifty-eight billion, eighty-four million, six hundred sixty-seven thousand, three hundred ninety-two".