5508979200 has 720 divisors, whose sum is σ = 21817275480. Its totient is φ = 1321205760.

The previous prime is 5508979153. The next prime is 5508979243. The reversal of 5508979200 is 29798055.

It is a happy number.

5508979200 is a `hidden beast` number, since 550 + 8 + 9 + 7 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 777740544 + 4731238656 = 27888^2 + 68784^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 71 ways as a sum of consecutive naturals, for example, 56793552 + ... + 56793648.

Almost surely, 2^5508979200 is an apocalyptic number.

5508979200 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 5508979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10908637740).

5508979200 is an abundant number, since it is smaller than the sum of its proper divisors (16308296280).

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

5508979200 is a wasteful number, since it uses less digits than its factorization.

5508979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5508979200 is about 74222.4979369463. The cubic root of 5508979200 is about 1766.1342424696.

It can be divided in two parts, 5508 and 979200, that multiplied together give a square (5393433600 = 73440²).

The spelling of 5508979200 in words is "five billion, five hundred eight million, nine hundred seventy-nine thousand, two hundred".