5577245164800 has 648 divisors, whose sum is σ = 21285300778560. Its totient is φ = 1389123993600.

The previous prime is 5577245164727. The next prime is 5577245164817. The reversal of 5577245164800 is 84615427755.

It is a happy number.

5577245164800 is a `hidden beast` number, since 5 + 57 + 7 + 2 + 451 + 64 + 80 + 0 = 666.

It is a super-2 number, since 2×5577245164800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77666512 + ... + 77738288.

Almost surely, 2^{5577245164800} is an apocalyptic number.

5577245164800 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 5577245164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10642650389280).

5577245164800 is an abundant number, since it is smaller than the sum of its proper divisors (15708055613760).

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

5577245164800 is a wasteful number, since it uses less digits than its factorization.

5577245164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71899 (or 71877 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 5577245164800 in words is "five trillion, five hundred seventy-seven billion, two hundred forty-five million, one hundred sixty-four thousand, eight hundred".