5755651200 has 288 divisors, whose sum is σ = 22118727540. Its totient is φ = 1416683520.

The previous prime is 5755651193. The next prime is 5755651219. The reversal of 5755651200 is 21565575.

It is a happy number.

5755651200 is a `hidden beast` number, since 5 + 75 + 565 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 80138304 + 5675512896 = 8952^2 + 75336^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5755651200² = 66255041472122880000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 366714 + ... + 382086.

Almost surely, 2^5755651200 is an apocalyptic number.

5755651200 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 5755651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059363770).

5755651200 is an abundant number, since it is smaller than the sum of its proper divisors (16363076340).

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

5755651200 is a wasteful number, since it uses less digits than its factorization.

5755651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15416 (or 15396 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 5755651200 is about 75866.0081986656. The cubic root of 5755651200 is about 1792.1106569635.

The spelling of 5755651200 in words is "five billion, seven hundred fifty-five million, six hundred fifty-one thousand, two hundred".