5382529920 has 512 divisors, whose sum is σ = 20621952000. Its totient is φ = 1322754048.

The previous prime is 5382529861. The next prime is 5382529927. The reversal of 5382529920 is 299252835.

5382529920 is a `hidden beast` number, since 5 + 38 + 2 + 529 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382529927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11525527 + ... + 11525993.

It is an arithmetic number, because the mean of its divisors is an integer number (40277250).

Almost surely, 2^5382529920 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 5382529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10310976000).

5382529920 is an abundant number, since it is smaller than the sum of its proper divisors (15239422080).

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

5382529920 is a wasteful number, since it uses less digits than its factorization.

5382529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5382529920 is about 73365.7271483082. The cubic root of 5382529920 is about 1752.5166425296.

The spelling of 5382529920 in words is "five billion, three hundred eighty-two million, five hundred twenty-nine thousand, nine hundred twenty".