5239188864000 has 2464 divisors, whose sum is σ = 24158451897216. Its totient is φ = 1103619686400.

The previous prime is 5239188863989. The next prime is 5239188864037. The reversal of 5239188864000 is 4688819325.

5239188864000 is a `hidden beast` number, since 52 + 3 + 9 + 188 + 8 + 6 + 400 + 0 = 666.

It is a super-2 number, since 2×5239188864000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8491391692 + ... + 8491392308.

Almost surely, 2^{5239188864000} is an apocalyptic number.

5239188864000 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 5239188864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079225948608).

5239188864000 is an abundant number, since it is smaller than the sum of its proper divisors (18919263033216).

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

5239188864000 is an equidigital number, since it uses as much as digits as its factorization.

5239188864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 5239188864000 in words is "five trillion, two hundred thirty-nine billion, one hundred eighty-eight million, eight hundred sixty-four thousand".