5582772000 has 576 divisors, whose sum is σ = 21750543360. Its totient is φ = 1347840000.

The previous prime is 5582771981. The next prime is 5582772007. The reversal of 5582772000 is 2772855.

5582772000 is a `hidden beast` number, since 5 + 582 + 7 + 72 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5582772007) 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, 36971925 + ... + 36972075.

It is an arithmetic number, because the mean of its divisors is an integer number (37761360).

Almost surely, 2^5582772000 is an apocalyptic number.

5582772000 is a gapful number since it is divisible by the number (50) 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 5582772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10875271680).

5582772000 is an abundant number, since it is smaller than the sum of its proper divisors (16167771360).

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

5582772000 is a wasteful number, since it uses less digits than its factorization.

5582772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5582772000 is about 74717.9496506696. The cubic root of 5582772000 is about 1773.9850840183.

The spelling of 5582772000 in words is "five billion, five hundred eighty-two million, seven hundred seventy-two thousand".