5577139200 has 264 divisors, whose sum is σ = 18641128320. Its totient is φ = 1470464000.

The previous prime is 5577139177. The next prime is 5577139213. The reversal of 5577139200 is 29317755.

It is a super-2 number, since 2×5577139200² = 62208963312353280000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7756441 + ... + 7757159.

Almost surely, 2^5577139200 is an apocalyptic number.

5577139200 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 5577139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9320564160).

5577139200 is an abundant number, since it is smaller than the sum of its proper divisors (13063989120).

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

5577139200 is a wasteful number, since it uses less digits than its factorization.

5577139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 5577139200 is about 74680.2463841677. The cubic root of 5577139200 is about 1773.3882559104.

The spelling of 5577139200 in words is "five billion, five hundred seventy-seven million, one hundred thirty-nine thousand, two hundred".