5754982400 has 156 divisors (see below), whose sum is σ = 14613661392. Its totient is φ = 2246737920.

The previous prime is 5754982393. The next prime is 5754982403. The reversal of 5754982400 is 42894575.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5754982403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4402547 + ... + 4403853.

Almost surely, 2^5754982400 is an apocalyptic number.

5754982400 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 5754982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306830696).

5754982400 is an abundant number, since it is smaller than the sum of its proper divisors (8858678992).

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

5754982400 is a wasteful number, since it uses less digits than its factorization.

5754982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 5754982400 is about 75861.6002994928. The cubic root of 5754982400 is about 1792.0412405475.

The spelling of 5754982400 in words is "five billion, seven hundred fifty-four million, nine hundred eighty-two thousand, four hundred".