5577600000 has 528 divisors, whose sum is σ = 21492124416. Its totient is φ = 1259520000.

The previous prime is 5577599999. The next prime is 5577600103. The reversal of 5577600000 is 67755.

It is a super-2 number, since 2×5577600000² = 62219243520000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67199959 + ... + 67200041.

Almost surely, 2^5577600000 is an apocalyptic number.

5577600000 is a gapful number since it is divisible by the number (50) 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 5577600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746062208).

5577600000 is an abundant number, since it is smaller than the sum of its proper divisors (15914524416).

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

5577600000 is an frugal number, since it uses more digits than its factorization.

5577600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 5577600000 is about 74683.3314736294. The cubic root of 5577600000 is about 1773.4370954542.

Adding to 5577600000 its reverse (67755), we get a palindrome (5577667755).

The spelling of 5577600000 in words is "five billion, five hundred seventy-seven million, six hundred thousand".