5639181517200 has 960 divisors, whose sum is σ = 23352311070720. Its totient is φ = 1128895488000.

The previous prime is 5639181517183. The next prime is 5639181517219. The reversal of 5639181517200 is 27151819365.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5639181517200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 655943302 + ... + 655951898.

It is an arithmetic number, because the mean of its divisors is an integer number (24325324032).

Almost surely, 2^{5639181517200} is an apocalyptic number.

5639181517200 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 5639181517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676155535360).

5639181517200 is an abundant number, since it is smaller than the sum of its proper divisors (17713129553520).

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

5639181517200 is a wasteful number, since it uses less digits than its factorization.

5639181517200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 5639181517200 in words is "five trillion, six hundred thirty-nine billion, one hundred eighty-one million, five hundred seventeen thousand, two hundred".