5515602400 has 576 divisors, whose sum is σ = 18628807680. Its totient is φ = 1540915200.

The previous prime is 5515602343. The next prime is 5515602401. The reversal of 5515602400 is 42065155.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5515602401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24085486 + ... + 24085714.

It is an arithmetic number, because the mean of its divisors is an integer number (32341680).

Almost surely, 2^5515602400 is an apocalyptic number.

5515602400 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 5515602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314403840).

5515602400 is an abundant number, since it is smaller than the sum of its proper divisors (13113205280).

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

5515602400 is a wasteful number, since it uses less digits than its factorization.

5515602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 5515602400 is about 74267.1017342134. The cubic root of 5515602400 is about 1766.8417404917.

Adding to 5515602400 its reverse (42065155), we get a palindrome (5557667555).

The spelling of 5515602400 in words is "five billion, five hundred fifteen million, six hundred two thousand, four hundred".