5577581907360 has 96 divisors (see below), whose sum is σ = 19521536690880. Its totient is φ = 1487355174144.

The previous prime is 5577581907319. The next prime is 5577581907361. The reversal of 5577581907360 is 637091857755.

5577581907360 is a `hidden beast` number, since 5 + 577 + 58 + 1 + 9 + 0 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5577581907360² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5577581907361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645549142 + ... + 645557781.

It is an arithmetic number, because the mean of its divisors is an integer number (203349340530).

Almost surely, 2^{5577581907360} is an apocalyptic number.

It is an amenable number.

5577581907360 is an abundant number, since it is smaller than the sum of its proper divisors (13943954783520).

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

5577581907360 is a wasteful number, since it uses less digits than its factorization.

5577581907360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291106947 (or 1291106933 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 63.

The spelling of 5577581907360 in words is "five trillion, five hundred seventy-seven billion, five hundred eighty-one million, nine hundred seven thousand, three hundred sixty".