5577715541664 has 144 divisors (see below), whose sum is σ = 18287997279552. Its totient is φ = 1579530000384.

The previous prime is 5577715541611. The next prime is 5577715541687. The reversal of 5577715541664 is 4661455177755.

5577715541664 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 7 + 1 + 554 + 16 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5577715541664² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 12014334 + ... + 12469949.

It is an arithmetic number, because the mean of its divisors is an integer number (126999981108).

Almost surely, 2^{5577715541664} is an apocalyptic number.

It is an amenable number.

5577715541664 is an abundant number, since it is smaller than the sum of its proper divisors (12710281737888).

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

5577715541664 is a wasteful number, since it uses less digits than its factorization.

5577715541664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24484419 (or 24484408 counting only the distinct ones).

The product of its digits is 123480000, while the sum is 63.

The spelling of 5577715541664 in words is "five trillion, five hundred seventy-seven billion, seven hundred fifteen million, five hundred forty-one thousand, six hundred sixty-four".