5577936000 has 512 divisors, whose sum is σ = 22775800320. Its totient is φ = 1175961600.

The previous prime is 5577935959. The next prime is 5577936037. The reversal of 5577936000 is 6397755.

It is a super-2 number, since 2×5577936000² = 62226740040192000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367362 + ... + 4368638.

It is an arithmetic number, because the mean of its divisors is an integer number (44483985).

Almost surely, 2^5577936000 is an apocalyptic number.

5577936000 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 5577936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387900160).

5577936000 is an abundant number, since it is smaller than the sum of its proper divisors (17197864320).

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

5577936000 is a wasteful number, since it uses less digits than its factorization.

5577936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 5577936000 is about 74685.5809376884. The cubic root of 5577936000 is about 1773.4727059258.

The spelling of 5577936000 in words is "five billion, five hundred seventy-seven million, nine hundred thirty-six thousand".