5500610010000 has 1200 divisors, whose sum is σ = 23271241319040. Its totient is φ = 1184440320000.

The previous prime is 5500610009987. The next prime is 5500610010001. The reversal of 5500610010000 is 100160055.

5500610010000 is a `hidden beast` number, since 5 + 50 + 0 + 610 + 0 + 1 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×5500610010000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5500610010001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2310208810 + ... + 2310211190.

Almost surely, 2^{5500610010000} is an apocalyptic number.

5500610010000 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 5500610010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635620659520).

5500610010000 is an abundant number, since it is smaller than the sum of its proper divisors (17770631309040).

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

5500610010000 is a wasteful number, since it uses less digits than its factorization.

5500610010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 5500610010000 its reverse (100160055), we get a palindrome (5500710170055).

The spelling of 5500610010000 in words is "five trillion, five hundred billion, six hundred ten million, ten thousand".