5876945280 has 768 divisors, whose sum is σ = 23096586240. Its totient is φ = 1423319040.

The previous prime is 5876945213. The next prime is 5876945281. The reversal of 5876945280 is 825496785.

5876945280 is a `hidden beast` number, since 58 + 7 + 69 + 4 + 528 + 0 = 666.

It is a super-2 number, since 2×5876945280² = 69076971648228556800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5876945281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110885734 + ... + 110885786.

It is an arithmetic number, because the mean of its divisors is an integer number (30073680).

Almost surely, 2^5876945280 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 5876945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548293120).

5876945280 is an abundant number, since it is smaller than the sum of its proper divisors (17219640960).

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

5876945280 is a wasteful number, since it uses less digits than its factorization.

5876945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5876945280 is about 76661.2371410741. The cubic root of 5876945280 is about 1804.6121720557.

The spelling of 5876945280 in words is "five billion, eight hundred seventy-six million, nine hundred forty-five thousand, two hundred eighty".