5677189560 has 512 divisors, whose sum is σ = 22369075200. Its totient is φ = 1269789696.

The previous prime is 5677189501. The next prime is 5677189579. The reversal of 5677189560 is 659817765.

5677189560 is a `hidden beast` number, since 5 + 6 + 7 + 71 + 8 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5677189497 and 5677189506.

It is a congruent number.

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, 44702217 + ... + 44702343.

It is an arithmetic number, because the mean of its divisors is an integer number (43689600).

Almost surely, 2^5677189560 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 5677189560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184537600).

5677189560 is an abundant number, since it is smaller than the sum of its proper divisors (16691885640).

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

5677189560 is a wasteful number, since it uses less digits than its factorization.

5677189560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5677189560 is about 75347.1270852446. The cubic root of 5677189560 is about 1783.9299567974.

The spelling of 5677189560 in words is "five billion, six hundred seventy-seven million, one hundred eighty-nine thousand, five hundred sixty".