5382668160 has 256 divisors, whose sum is σ = 19309824000. Its totient is φ = 1416849408.

The previous prime is 5382668141. The next prime is 5382668201. The reversal of 5382668160 is 618662835.

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 31 ways as a sum of consecutive naturals, for example, 1363149 + ... + 1367091.

It is an arithmetic number, because the mean of its divisors is an integer number (75429000).

Almost surely, 2^5382668160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654912000).

5382668160 is an abundant number, since it is smaller than the sum of its proper divisors (13927155840).

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

5382668160 is a wasteful number, since it uses less digits than its factorization.

5382668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5382668160 is about 73366.6692715432. The cubic root of 5382668160 is about 1752.5316457486.

The spelling of 5382668160 in words is "five billion, three hundred eighty-two million, six hundred sixty-eight thousand, one hundred sixty".