5783058171072 has 1344 divisors, whose sum is σ = 23205716352000. Its totient is φ = 1359737487360.

The previous prime is 5783058171067. The next prime is 5783058171083. The reversal of 5783058171072 is 2701718503875.

5783058171072 is a `hidden beast` number, since 57 + 8 + 3 + 0 + 581 + 7 + 1 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 829584547 + ... + 829591517.

It is an arithmetic number, because the mean of its divisors is an integer number (17266158000).

Almost surely, 2^{5783058171072} is an apocalyptic number.

5783058171072 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 5783058171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602858176000).

5783058171072 is an abundant number, since it is smaller than the sum of its proper divisors (17422658180928).

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

5783058171072 is a wasteful number, since it uses less digits than its factorization.

5783058171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 5783058171072 in words is "five trillion, seven hundred eighty-three billion, fifty-eight million, one hundred seventy-one thousand, seventy-two".