5577518016 has 168 divisors, whose sum is σ = 18860601344. Its totient is φ = 1542136320.

The previous prime is 5577517969. The next prime is 5577518029. The reversal of 5577518016 is 6108157755.

5577518016 is a `hidden beast` number, since 55 + 77 + 518 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×5577518016² = 62217414437609152512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102681 + ... + 147303.

Almost surely, 2^5577518016 is an apocalyptic number.

5577518016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5577518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430300672).

5577518016 is an abundant number, since it is smaller than the sum of its proper divisors (13283083328).

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

5577518016 is a wasteful number, since it uses less digits than its factorization.

5577518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44679 (or 44666 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The square root of 5577518016 is about 74682.7825941160. The cubic root of 5577518016 is about 1773.4284062821.

The spelling of 5577518016 in words is "five billion, five hundred seventy-seven million, five hundred eighteen thousand, sixteen".