5500137705600 has 768 divisors, whose sum is σ = 18825153684480. Its totient is φ = 1410536816640.

The previous prime is 5500137705593. The next prime is 5500137705677. The reversal of 5500137705600 is 65077310055.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11777596567 + ... + 11777597033.

It is an arithmetic number, because the mean of its divisors is an integer number (24511918860).

Almost surely, 2^{5500137705600} is an apocalyptic number.

5500137705600 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 5500137705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9412576842240).

5500137705600 is an abundant number, since it is smaller than the sum of its proper divisors (13325015978880).

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

5500137705600 is a wasteful number, since it uses less digits than its factorization.

5500137705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 39.

The spelling of 5500137705600 in words is "five trillion, five hundred billion, one hundred thirty-seven million, seven hundred five thousand, six hundred".