5530330977600 has 1344 divisors, whose sum is σ = 22207830607872. Its totient is φ = 1186762752000.

The previous prime is 5530330977593. The next prime is 5530330977641. The reversal of 5530330977600 is 67790330355.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5530330977600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1803171267 + ... + 1803174333.

It is an arithmetic number, because the mean of its divisors is an integer number (16523683488).

Almost surely, 2^{5530330977600} is an apocalyptic number.

5530330977600 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 5530330977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103915303936).

5530330977600 is an abundant number, since it is smaller than the sum of its proper divisors (16677499630272).

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

5530330977600 is a wasteful number, since it uses less digits than its factorization.

5530330977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 48.

The spelling of 5530330977600 in words is "five trillion, five hundred thirty billion, three hundred thirty million, nine hundred seventy-seven thousand, six hundred".