5382861120 has 1344 divisors, whose sum is σ = 25562234880. Its totient is φ = 1007271936.

The previous prime is 5382861119. The next prime is 5382861149. The reversal of 5382861120 is 211682835.

It is a happy number.

5382861120 is a `hidden beast` number, since 5 + 38 + 2 + 8 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×5382861120³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114528937 + ... + 114528983.

It is an arithmetic number, because the mean of its divisors is an integer number (19019520).

Almost surely, 2^5382861120 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 5382861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781117440).

5382861120 is an abundant number, since it is smaller than the sum of its proper divisors (20179373760).

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

5382861120 is a wasteful number, since it uses less digits than its factorization.

5382861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5382861120 is about 73367.9842983300. The cubic root of 5382861120 is about 1752.5525873124.

The spelling of 5382861120 in words is "five billion, three hundred eighty-two million, eight hundred sixty-one thousand, one hundred twenty".