5821180712256 has 1344 divisors, whose sum is σ = 20990035906560. Its totient is φ = 1382311526400.

The previous prime is 5821180712251. The next prime is 5821180712341. The reversal of 5821180712256 is 6522170811285.

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

It is a super-2 number, since 2×5821180712256² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5821180712251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22650508480 + ... + 22650508736.

It is an arithmetic number, because the mean of its divisors is an integer number (15617586240).

Almost surely, 2^{5821180712256} is an apocalyptic number.

5821180712256 is a gapful number since it is divisible by the number (56) 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 5821180712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495017953280).

5821180712256 is an abundant number, since it is smaller than the sum of its proper divisors (15168855194304).

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

5821180712256 is a wasteful number, since it uses less digits than its factorization.

5821180712256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 5821180712256 in words is "five trillion, eight hundred twenty-one billion, one hundred eighty million, seven hundred twelve thousand, two hundred fifty-six".