5188856400 has 720 divisors, whose sum is σ = 22700880384. Its totient is φ = 1068318720.

The previous prime is 5188856369. The next prime is 5188856417. The reversal of 5188856400 is 46588815.

5188856400 is a `hidden beast` number, since 5 + 1 + 8 + 88 + 564 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 15397032 + ... + 15397368.

It is a vampire number, since it can be written as 64155 ⋅ 80880 (with its own digits).

Almost surely, 2^5188856400 is an apocalyptic number.

5188856400 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 5188856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350440192).

5188856400 is an abundant number, since it is smaller than the sum of its proper divisors (17512023984).

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

5188856400 is a wasteful number, since it uses less digits than its factorization.

5188856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5188856400 is about 72033.7171052556. The cubic root of 5188856400 is about 1731.2397586573.

The spelling of 5188856400 in words is "five billion, one hundred eighty-eight million, eight hundred fifty-six thousand, four hundred".