5755495200 has 864 divisors, whose sum is σ = 24668171136. Its totient is φ = 1134673920.

The previous prime is 5755495169. The next prime is 5755495259. The reversal of 5755495200 is 25945575.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 78842364 + ... + 78842436.

It is an arithmetic number, because the mean of its divisors is an integer number (28551124).

Almost surely, 2^5755495200 is an apocalyptic number.

5755495200 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 5755495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334085568).

5755495200 is an abundant number, since it is smaller than the sum of its proper divisors (18912675936).

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

5755495200 is a wasteful number, since it uses less digits than its factorization.

5755495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The square root of 5755495200 is about 75864.9800632677. The cubic root of 5755495200 is about 1792.0944658162.

The spelling of 5755495200 in words is "five billion, seven hundred fifty-five million, four hundred ninety-five thousand, two hundred".