5189628787200 has 4800 divisors, whose sum is σ = 25064453272320. Its totient is φ = 1040449536000.

The previous prime is 5189628787027. The next prime is 5189628787201. The reversal of 5189628787200 is 27878269815.

5189628787200 is a `hidden beast` number, since 518 + 9 + 6 + 28 + 78 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is not an unprimeable number, because it can be changed into a prime (5189628787201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 73093363165 + ... + 73093363235.

Almost surely, 2^{5189628787200} is an apocalyptic number.

5189628787200 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 5189628787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532226636160).

5189628787200 is an abundant number, since it is smaller than the sum of its proper divisors (19874824485120).

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

5189628787200 is a wasteful number, since it uses less digits than its factorization.

5189628787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 5189628787200 in words is "five trillion, one hundred eighty-nine billion, six hundred twenty-eight million, seven hundred eighty-seven thousand, two hundred".