5557363200 has 360 divisors, whose sum is σ = 20943265200. Its totient is φ = 1403412480.

The previous prime is 5557363169. The next prime is 5557363271. The reversal of 5557363200 is 23637555.

5557363200 is a `hidden beast` number, since 5 + 5 + 573 + 63 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 35 ways as a sum of consecutive naturals, for example, 2187531 + ... + 2190069.

Almost surely, 2^5557363200 is an apocalyptic number.

5557363200 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 5557363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10471632600).

5557363200 is an abundant number, since it is smaller than the sum of its proper divisors (15385902000).

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

5557363200 is a wasteful number, since it uses less digits than its factorization.

5557363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 5557363200 is about 74547.7243113430. The cubic root of 5557363200 is about 1771.2896853601.

The spelling of 5557363200 in words is "five billion, five hundred fifty-seven million, three hundred sixty-three thousand, two hundred".