5527382724864 has 2592 divisors, whose sum is σ = 23452880855040. Its totient is φ = 1211115110400.

The previous prime is 5527382724847. The next prime is 5527382724889. The reversal of 5527382724864 is 4684272837255.

It is a happy number.

5527382724864 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 3 + 82 + 72 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17659369572 + ... + 17659369884.

Almost surely, 2^{5527382724864} 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 5527382724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726440427520).

5527382724864 is an abundant number, since it is smaller than the sum of its proper divisors (17925498130176).

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

5527382724864 is a wasteful number, since it uses less digits than its factorization.

5527382724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 399 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 5527382724864 in words is "five trillion, five hundred twenty-seven billion, three hundred eighty-two million, seven hundred twenty-four thousand, eight hundred sixty-four".