5798150830080 has 768 divisors, whose sum is σ = 24367464576000. Its totient is φ = 1279579521024.

The previous prime is 5798150830049. The next prime is 5798150830201. The reversal of 5798150830080 is 800380518975.

5798150830080 is a `hidden beast` number, since 57 + 9 + 8 + 1 + 508 + 3 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 5798150829999 and 5798150830026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56073787 + ... + 56177093.

It is an arithmetic number, because the mean of its divisors is an integer number (31728469500).

Almost surely, 2^{5798150830080} 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 5798150830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183732288000).

5798150830080 is an abundant number, since it is smaller than the sum of its proper divisors (18569313745920).

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

5798150830080 is a wasteful number, since it uses less digits than its factorization.

5798150830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103379 (or 103353 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 5798150830080 in words is "five trillion, seven hundred ninety-eight billion, one hundred fifty million, eight hundred thirty thousand, eighty".