5577201745920 has 408 divisors, whose sum is σ = 22096255361856. Its totient is φ = 1274784251904.

The previous prime is 5577201745891. The next prime is 5577201745939. The reversal of 5577201745920 is 295471027755.

5577201745920 is a `hidden beast` number, since 5 + 577 + 2 + 0 + 1 + 7 + 45 + 9 + 20 = 666.

It is a super-2 number, since 2×5577201745920² (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, 20508759 + ... + 20778921.

It is an arithmetic number, because the mean of its divisors is an integer number (54157488632).

Almost surely, 2^{5577201745920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5577201745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048127680928).

5577201745920 is an abundant number, since it is smaller than the sum of its proper divisors (16519053615936).

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

5577201745920 is an equidigital number, since it uses as much as digits as its factorization.

5577201745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270213 (or 270180 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 5577201745920 in words is "five trillion, five hundred seventy-seven billion, two hundred one million, seven hundred forty-five thousand, nine hundred twenty".