5506382217504 has 144 divisors (see below), whose sum is σ = 16839655509600. Its totient is φ = 1570863845376.

The previous prime is 5506382217461. The next prime is 5506382217521. The reversal of 5506382217504 is 4057122836055.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2211792 + ... + 3988080.

It is an arithmetic number, because the mean of its divisors is an integer number (116942052150).

Almost surely, 2^{5506382217504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506382217504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419827754800).

5506382217504 is an abundant number, since it is smaller than the sum of its proper divisors (11333273292096).

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

5506382217504 is a wasteful number, since it uses less digits than its factorization.

5506382217504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776975 (or 1776960 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 5506382217504 in words is "five trillion, five hundred six billion, three hundred eighty-two million, two hundred seventeen thousand, five hundred four".