5826072960 has 512 divisors, whose sum is σ = 21890995200. Its totient is φ = 1461436416.

The previous prime is 5826072929. The next prime is 5826072979. The reversal of 5826072960 is 692706285.

5826072960 is a `hidden beast` number, since 582 + 6 + 0 + 7 + 2 + 9 + 60 = 666.

It is a super-2 number, since 2×5826072960² = 67886252270486323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 42526012 + ... + 42526148.

It is an arithmetic number, because the mean of its divisors is an integer number (42755850).

Almost surely, 2^5826072960 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 5826072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945497600).

5826072960 is an abundant number, since it is smaller than the sum of its proper divisors (16064922240).

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

5826072960 is a wasteful number, since it uses less digits than its factorization.

5826072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5826072960 is about 76328.7164833787. The cubic root of 5826072960 is about 1799.3900155339.

The spelling of 5826072960 in words is "five billion, eight hundred twenty-six million, seventy-two thousand, nine hundred sixty".