5582970000 has 600 divisors, whose sum is σ = 21415113720. Its totient is φ = 1351680000.

The previous prime is 5582969989. The next prime is 5582970073. The reversal of 5582970000 is 792855.

5582970000 is a `hidden beast` number, since 5 + 582 + 9 + 70 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 5381102736 + 201867264 = 73356^2 + 14208^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62729956 + ... + 62730044.

Almost surely, 2^5582970000 is an apocalyptic number.

5582970000 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 5582970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707556860).

5582970000 is an abundant number, since it is smaller than the sum of its proper divisors (15832143720).

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

5582970000 is a wasteful number, since it uses less digits than its factorization.

5582970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5582970000 is about 74719.2746217467. The cubic root of 5582970000 is about 1774.0060559712.

The spelling of 5582970000 in words is "five billion, five hundred eighty-two million, nine hundred seventy thousand".