5628801666600 has 360 divisors, whose sum is σ = 22741446856590. Its totient is φ = 1286583056640.

The previous prime is 5628801666599. The next prime is 5628801666619. The reversal of 5628801666600 is 66661088265.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2942041396644 + 2686760269956 = 1715238^2 + 1639134^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 89 ways as a sum of consecutive naturals, for example, 2751679 + ... + 4339278.

Almost surely, 2^{5628801666600} is an apocalyptic number.

5628801666600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5628801666600 is an abundant number, since it is smaller than the sum of its proper divisors (17112645189990).

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

5628801666600 is a wasteful number, since it uses less digits than its factorization.

5628801666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090999 (or 7090974 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 5628801666600 in words is "five trillion, six hundred twenty-eight billion, eight hundred one million, six hundred sixty-six thousand, six hundred".