5506725327300 has 216 divisors, whose sum is σ = 17984653234912. Its totient is φ = 1461499200000.

The previous prime is 5506725327293. The next prime is 5506725327307. The reversal of 5506725327300 is 37235276055.

5506725327300 is a `hidden beast` number, since 5 + 50 + 67 + 2 + 532 + 7 + 3 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5506725327293) and next prime (5506725327307).

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

It is not an unprimeable number, because it can be changed into a prime (5506725327307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4590300 + ... + 5664300.

Almost surely, 2^{5506725327300} is an apocalyptic number.

5506725327300 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 5506725327300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992326617456).

5506725327300 is an abundant number, since it is smaller than the sum of its proper divisors (12477927907612).

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

5506725327300 is a wasteful number, since it uses less digits than its factorization.

5506725327300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074241 (or 1074222 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 5506725327300 in words is "five trillion, five hundred six billion, seven hundred twenty-five million, three hundred twenty-seven thousand, three hundred".