5209012864800 has 720 divisors, whose sum is σ = 19547609076072. Its totient is φ = 1349277696000.

The previous prime is 5209012864787. The next prime is 5209012864841. The reversal of 5209012864800 is 84682109025.

5209012864800 is a `hidden beast` number, since 5 + 2 + 0 + 90 + 1 + 2 + 86 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1546948887696 + 3662063977104 = 1243764^2 + 1913652^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 346866892 + ... + 346881908.

Almost surely, 2^{5209012864800} is an apocalyptic number.

5209012864800 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 5209012864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9773804538036).

5209012864800 is an abundant number, since it is smaller than the sum of its proper divisors (14338596211272).

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

5209012864800 is a wasteful number, since it uses less digits than its factorization.

5209012864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203 (or 15181 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5209012864800 in words is "five trillion, two hundred nine billion, twelve million, eight hundred sixty-four thousand, eight hundred".