1678258563200 has 72 divisors (see below), whose sum is σ = 4146004147215. Its totient is φ = 671274112000.

The previous prime is 1678258563181. The next prime is 1678258563209. The reversal of 1678258563200 is 23658528761.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 1555248433216 + 123010129984 = 1247096^2 + 350728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=916040.

It is not an unprimeable number, because it can be changed into a prime (1678258563209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73271750 + ... + 73294650.

Almost surely, 2^{1678258563200} is an apocalyptic number.

1678258563200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1678258563200 is an abundant number, since it is smaller than the sum of its proper divisors (2467745584015).

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

1678258563200 is an frugal number, since it uses more digits than its factorization.

1678258563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45826 (or 22908 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 1678258563200 in words is "one trillion, six hundred seventy-eight billion, two hundred fifty-eight million, five hundred sixty-three thousand, two hundred".