5557644640800 has 1386 divisors, whose sum is σ = 23743137101733. Its totient is φ = 1270318775040.

The previous prime is 5557644640789. The next prime is 5557644640819. The reversal of 5557644640800 is 80464467555.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5557644640800 is a `hidden beast` number, since 5 + 5 + 576 + 4 + 4 + 64 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5446491747984 + 111152892816 = 2333772^2 + 333396^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1666980.

It is a super-2 number, since 2×5557644640800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 230 ways as a sum of consecutive naturals, for example, 793949234397 + ... + 793949234403.

Almost surely, 2^{5557644640800} is an apocalyptic number.

5557644640800 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 5557644640800

5557644640800 is an abundant number, since it is smaller than the sum of its proper divisors (18185492460933).

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

5557644640800 is an frugal number, since it uses more digits than its factorization.

5557644640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 5557644640800 in words is "five trillion, five hundred fifty-seven billion, six hundred forty-four million, six hundred forty thousand, eight hundred".