5755503600 has 720 divisors, whose sum is σ = 25857511680. Its totient is φ = 1194393600.

The previous prime is 5755503569. The next prime is 5755503641. The reversal of 5755503600 is 63055575.

5755503600 is a `hidden beast` number, since 5 + 75 + 550 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5755503600² = 66251643379225920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7484016 + ... + 7484784.

Almost surely, 2^5755503600 is an apocalyptic number.

5755503600 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 5755503600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928755840).

5755503600 is an abundant number, since it is smaller than the sum of its proper divisors (20102008080).

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

5755503600 is a wasteful number, since it uses less digits than its factorization.

5755503600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 5755503600 is about 75865.0354247594. The cubic root of 5755503600 is about 1792.0953376547.

The spelling of 5755503600 in words is "five billion, seven hundred fifty-five million, five hundred three thousand, six hundred".