5632521120 has 288 divisors, whose sum is σ = 20404500480. Its totient is φ = 1410877440.

The previous prime is 5632521119. The next prime is 5632521127. The reversal of 5632521120 is 211252365.

It is a happy number.

5632521120 is a `hidden beast` number, since 5 + 632 + 5 + 2 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5632521127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3473910 + ... + 3475530.

It is an arithmetic number, because the mean of its divisors is an integer number (70848960).

Almost surely, 2^5632521120 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 5632521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202250240).

5632521120 is an abundant number, since it is smaller than the sum of its proper divisors (14771979360).

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

5632521120 is a wasteful number, since it uses less digits than its factorization.

5632521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5632521120 is about 75050.1240505304. The cubic root of 5632521120 is about 1779.2389457869.

Adding to 5632521120 its reverse (211252365), we get a palindrome (5843773485).

The spelling of 5632521120 in words is "five billion, six hundred thirty-two million, five hundred twenty-one thousand, one hundred twenty".