5739854400 has 1176 divisors, whose sum is σ = 26163097280. Its totient is φ = 1209323520.

The previous prime is 5739854389. The next prime is 5739854411. The reversal of 5739854400 is 44589375.

It is an interprime number because it is at equal distance from previous prime (5739854389) and next prime (5739854411).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 155131182 + ... + 155131218.

Almost surely, 2^5739854400 is an apocalyptic number.

5739854400 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 5739854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081548640).

5739854400 is an abundant number, since it is smaller than the sum of its proper divisors (20423242880).

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

5739854400 is a wasteful number, since it uses less digits than its factorization.

5739854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5739854400 is about 75761.8267995169. The cubic root of 5739854400 is about 1790.4696290727.

The spelling of 5739854400 in words is "five billion, seven hundred thirty-nine million, eight hundred fifty-four thousand, four hundred".