5485537075200 has 1344 divisors, whose sum is σ = 22877395252992. Its totient is φ = 1128687206400.

The previous prime is 5485537075157. The next prime is 5485537075243. The reversal of 5485537075200 is 25707355845.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5485537075157) and next prime (5485537075243).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5485537075200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2292325204 + ... + 2292327596.

It is an arithmetic number, because the mean of its divisors is an integer number (17021871468).

Almost surely, 2^{5485537075200} is an apocalyptic number.

5485537075200 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 5485537075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11438697626496).

5485537075200 is an abundant number, since it is smaller than the sum of its proper divisors (17391858177792).

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

5485537075200 is a wasteful number, since it uses less digits than its factorization.

5485537075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 5880000, while the sum is 51.

The spelling of 5485537075200 in words is "five trillion, four hundred eighty-five billion, five hundred thirty-seven million, seventy-five thousand, two hundred".