5089803264000 has 4032 divisors, whose sum is σ = 25044899181120. Its totient is φ = 1010722406400.

The previous prime is 5089803263999. The next prime is 5089803264071. The reversal of 5089803264000 is 4623089805.

5089803264000 is a `hidden beast` number, since 508 + 9 + 80 + 3 + 2 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 299400191992 + ... + 299400192008.

It is an arithmetic number, because the mean of its divisors is an integer number (6211532535).

Almost surely, 2^{5089803264000} is an apocalyptic number.

5089803264000 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 5089803264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522449590560).

5089803264000 is an abundant number, since it is smaller than the sum of its proper divisors (19955095917120).

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

5089803264000 is a wasteful number, since it uses less digits than its factorization.

5089803264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5089803264000 in words is "five trillion, eighty-nine billion, eight hundred three million, two hundred sixty-four thousand".