5579664883056 has 240 divisors, whose sum is σ = 18053475932160. Its totient is φ = 1636264022400.

The previous prime is 5579664883019. The next prime is 5579664883061. The reversal of 5579664883056 is 6503884669755.

5579664883056 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 66 + 488 + 30 + 56 = 666.

It is a super-2 number, since 2×5579664883056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3955761 + ... + 5177583.

It is an arithmetic number, because the mean of its divisors is an integer number (75222816384).

Almost surely, 2^{5579664883056} 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 5579664883056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026737966080).

5579664883056 is an abundant number, since it is smaller than the sum of its proper divisors (12473811049104).

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

5579664883056 is a wasteful number, since it uses less digits than its factorization.

5579664883056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221913 (or 1221870 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 5579664883056 in words is "five trillion, five hundred seventy-nine billion, six hundred sixty-four million, eight hundred eighty-three thousand, fifty-six".