5739552000 has 1152 divisors, whose sum is σ = 26427448320. Its totient is φ = 1194393600.

The previous prime is 5739551981. The next prime is 5739552017. The reversal of 5739552000 is 2559375.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 78623964 + ... + 78624036.

Almost surely, 2^5739552000 is an apocalyptic number.

5739552000 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 5739552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213724160).

5739552000 is an abundant number, since it is smaller than the sum of its proper divisors (20687896320).

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

5739552000 is a wasteful number, since it uses less digits than its factorization.

5739552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 5739552000 is about 75759.8310452182. The cubic root of 5739552000 is about 1790.4381853294.

The spelling of 5739552000 in words is "five billion, seven hundred thirty-nine million, five hundred fifty-two thousand".