5532602400 has 1152 divisors, whose sum is σ = 24410937600. Its totient is φ = 1194393600.

The previous prime is 5532602399. The next prime is 5532602423. The reversal of 5532602400 is 42062355.

5532602400 is a `hidden beast` number, since 5 + 53 + 2 + 602 + 4 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 90698370 + ... + 90698430.

It is an arithmetic number, because the mean of its divisors is an integer number (21190050).

Almost surely, 2^5532602400 is an apocalyptic number.

5532602400 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 5532602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12205468800).

5532602400 is an abundant number, since it is smaller than the sum of its proper divisors (18878335200).

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

5532602400 is a wasteful number, since it uses less digits than its factorization.

5532602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5532602400 is about 74381.4654332650. The cubic root of 5532602400 is about 1768.6551116755.

Adding to 5532602400 its reverse (42062355), we get a palindrome (5574664755).

The spelling of 5532602400 in words is "five billion, five hundred thirty-two million, six hundred two thousand, four hundred".