5577742673200 has 120 divisors (see below), whose sum is σ = 13498206768800. Its totient is φ = 2214853632000.

The previous prime is 5577742673183. The next prime is 5577742673257. The reversal of 5577742673200 is 23762477755.

It is a super-2 number, since 2×5577742673200² (a number of 26 digits) contains 22 as substring.

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, 93529792 + ... + 93589408.

Almost surely, 2^{5577742673200} is an apocalyptic number.

5577742673200 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 5577742673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749103384400).

5577742673200 is an abundant number, since it is smaller than the sum of its proper divisors (7920464095600).

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

5577742673200 is a wasteful number, since it uses less digits than its factorization.

5577742673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61335 (or 61324 counting only the distinct ones).

The product of its (nonzero) digits is 17287200, while the sum is 55.

The spelling of 5577742673200 in words is "five trillion, five hundred seventy-seven billion, seven hundred forty-two million, six hundred seventy-three thousand, two hundred".