5664557887560 has 512 divisors, whose sum is σ = 22402578240000. Its totient is φ = 1255039488000.

The previous prime is 5664557887537. The next prime is 5664557887601. The reversal of 5664557887560 is 657887554665.

5664557887560 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 5 + 57 + 8 + 8 + 7 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15416866 + ... + 15780014.

It is an arithmetic number, because the mean of its divisors is an integer number (43755035625).

Almost surely, 2^{5664557887560} 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 5664557887560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201289120000).

5664557887560 is an abundant number, since it is smaller than the sum of its proper divisors (16738020352440).

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

5664557887560 is a wasteful number, since it uses less digits than its factorization.

5664557887560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363294 (or 363284 counting only the distinct ones).

The product of its (nonzero) digits is 1693440000, while the sum is 72.

The spelling of 5664557887560 in words is "five trillion, six hundred sixty-four billion, five hundred fifty-seven million, eight hundred eighty-seven thousand, five hundred sixty".