5382720000 has 800 divisors, whose sum is σ = 23010134400. Its totient is φ = 1216512000.

The previous prime is 5382719977. The next prime is 5382720017. The reversal of 5382720000 is 272835.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60479956 + ... + 60480044.

It is an arithmetic number, because the mean of its divisors is an integer number (28762668).

Almost surely, 2^5382720000 is an apocalyptic number.

5382720000 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 5382720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505067200).

5382720000 is an abundant number, since it is smaller than the sum of its proper divisors (17627414400).

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

5382720000 is an frugal number, since it uses more digits than its factorization.

5382720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5382720000 is about 73367.0225646373. The cubic root of 5382720000 is about 1752.5372718896.

Adding to 5382720000 its reverse (272835), we get a palindrome (5382992835).

The spelling of 5382720000 in words is "five billion, three hundred eighty-two million, seven hundred twenty thousand".