5530752000 has 264 divisors, whose sum is σ = 19934619432. Its totient is φ = 1474560000.

The previous prime is 5530751987. The next prime is 5530752049. The reversal of 5530752000 is 2570355.

It can be written as a sum of positive squares in 4 ways, for example, as 165482496 + 5365269504 = 12864^2 + 73248^2 .

It is a super-4 number, since 4×5530752000⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149600 + ... + 1154400.

Almost surely, 2^5530752000 is an apocalyptic number.

5530752000 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 5530752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9967309716).

5530752000 is an abundant number, since it is smaller than the sum of its proper divisors (14403867432).

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

5530752000 is a wasteful number, since it uses less digits than its factorization.

5530752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 5530752000 is about 74369.0258104811. The cubic root of 5530752000 is about 1768.4579118705.

The spelling of 5530752000 in words is "five billion, five hundred thirty million, seven hundred fifty-two thousand".