5517386820 has 576 divisors, whose sum is σ = 20646420480. Its totient is φ = 1211500800.

The previous prime is 5517386807. The next prime is 5517386821. The reversal of 5517386820 is 286837155.

5517386820 is a `hidden beast` number, since 551 + 7 + 38 + 68 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5517386821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66474499 + ... + 66474581.

It is an arithmetic number, because the mean of its divisors is an integer number (35844480).

Almost surely, 2^5517386820 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 5517386820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10323210240).

5517386820 is an abundant number, since it is smaller than the sum of its proper divisors (15129033660).

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

5517386820 is a wasteful number, since it uses less digits than its factorization.

5517386820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5517386820 is about 74279.1142919731. The cubic root of 5517386820 is about 1767.0322574756.

The spelling of 5517386820 in words is "five billion, five hundred seventeen million, three hundred eighty-six thousand, eight hundred twenty".