5617200000 has 384 divisors, whose sum is σ = 19378759680. Its totient is φ = 1440000000.

The previous prime is 5617199989. The next prime is 5617200007. The reversal of 5617200000 is 27165.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5617200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5617200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37199925 + ... + 37200075.

It is an arithmetic number, because the mean of its divisors is an integer number (50465520).

Almost surely, 2^5617200000 is an apocalyptic number.

5617200000 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 5617200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689379840).

5617200000 is an abundant number, since it is smaller than the sum of its proper divisors (13761559680).

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

5617200000 is an equidigital number, since it uses as much as digits as its factorization.

5617200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5617200000 is about 74947.9819608240. The cubic root of 5617200000 is about 1777.6242344243.

Adding to 5617200000 its reverse (27165), we get a palindrome (5617227165).

The spelling of 5617200000 in words is "five billion, six hundred seventeen million, two hundred thousand".