5760456156 has 192 divisors, whose sum is σ = 18729446400. Its totient is φ = 1490441472.

The previous prime is 5760456133. The next prime is 5760456161. The reversal of 5760456156 is 6516540675.

It is a super-3 number, since 3×5760456156³ (a number of 30 digits) contains 333 as substring.

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, 515355 + ... + 526413.

It is an arithmetic number, because the mean of its divisors is an integer number (97549200).

Almost surely, 2^5760456156 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 5760456156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364723200).

5760456156 is an abundant number, since it is smaller than the sum of its proper divisors (12968990244).

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

5760456156 is a wasteful number, since it uses less digits than its factorization.

5760456156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5760456156 is about 75897.6689760628. The cubic root of 5760456156 is about 1792.6092172734.

The spelling of 5760456156 in words is "five billion, seven hundred sixty million, four hundred fifty-six thousand, one hundred fifty-six".