5617987200 has 576 divisors, whose sum is σ = 23935075200. Its totient is φ = 1283143680.

The previous prime is 5617987187. The next prime is 5617987231. The reversal of 5617987200 is 27897165.

5617987200 is a `hidden beast` number, since 5 + 617 + 9 + 8 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4232937 + ... + 4234263.

It is an arithmetic number, because the mean of its divisors is an integer number (41553950).

Almost surely, 2^5617987200 is an apocalyptic number.

5617987200 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 5617987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967537600).

5617987200 is an abundant number, since it is smaller than the sum of its proper divisors (18317088000).

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

5617987200 is a wasteful number, since it uses less digits than its factorization.

5617987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5617987200 is about 74953.2334192462. The cubic root of 5617987200 is about 1777.7072698888.

The spelling of 5617987200 in words is "five billion, six hundred seventeen million, nine hundred eighty-seven thousand, two hundred".