5756961600 has 1008 divisors, whose sum is σ = 24557053248. Its totient is φ = 1313832960.

The previous prime is 5756961541. The next prime is 5756961631. The reversal of 5756961600 is 61696575.

5756961600 is a `hidden beast` number, since 575 + 69 + 6 + 16 + 0 + 0 = 666.

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

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, 85924767 + ... + 85924833.

It is an arithmetic number, because the mean of its divisors is an integer number (24362156).

Almost surely, 2^5756961600 is an apocalyptic number.

5756961600 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 5756961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278526624).

5756961600 is an abundant number, since it is smaller than the sum of its proper divisors (18800091648).

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

5756961600 is a wasteful number, since it uses less digits than its factorization.

5756961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5756961600 is about 75874.6439859852. The cubic root of 5756961600 is about 1792.2466510515.

The spelling of 5756961600 in words is "five billion, seven hundred fifty-six million, nine hundred sixty-one thousand, six hundred".