5755881600 has 768 divisors, whose sum is σ = 24931737600. Its totient is φ = 1269043200.

The previous prime is 5755881559. The next prime is 5755881613. The reversal of 5755881600 is 61885575.

5755881600 is a `hidden beast` number, since 5 + 7 + 5 + 588 + 1 + 60 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 18748647 + ... + 18748953.

It is an arithmetic number, because the mean of its divisors is an integer number (32463200).

Almost surely, 2^5755881600 is an apocalyptic number.

5755881600 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 5755881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465868800).

5755881600 is an abundant number, since it is smaller than the sum of its proper divisors (19175856000).

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

5755881600 is a wasteful number, since it uses less digits than its factorization.

5755881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 5755881600 is about 75867.5266500761. The cubic root of 5755881600 is about 1792.1345695074.

The spelling of 5755881600 in words is "five billion, seven hundred fifty-five million, eight hundred eighty-one thousand, six hundred".