5259289996800 has 1920 divisors, whose sum is σ = 22665793582080. Its totient is φ = 1169709465600.

The previous prime is 5259289996783. The next prime is 5259289996853. The reversal of 5259289996800 is 86999829525.

5259289996800 is a `hidden beast` number, since 5 + 259 + 289 + 9 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23168678287 + ... + 23168678513.

It is an arithmetic number, because the mean of its divisors is an integer number (11805100824).

Almost surely, 2^{5259289996800} is an apocalyptic number.

5259289996800 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 5259289996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332896791040).

5259289996800 is an abundant number, since it is smaller than the sum of its proper divisors (17406503585280).

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

5259289996800 is a wasteful number, since it uses less digits than its factorization.

5259289996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 5259289996800 in words is "five trillion, two hundred fifty-nine billion, two hundred eighty-nine million, nine hundred ninety-six thousand, eight hundred".