5576198400 has 324 divisors, whose sum is σ = 20115535440. Its totient is φ = 1473638400.

The previous prime is 5576198311. The next prime is 5576198417. The reversal of 5576198400 is 48916755.

5576198400 is a `hidden beast` number, since 5 + 57 + 6 + 198 + 400 = 666.

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 35 ways as a sum of consecutive naturals, for example, 7545231 + ... + 7545969.

Almost surely, 2^5576198400 is an apocalyptic number.

5576198400 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 5576198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057767720).

5576198400 is an abundant number, since it is smaller than the sum of its proper divisors (14539337040).

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

5576198400 is a wasteful number, since it uses less digits than its factorization.

5576198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5576198400 is about 74673.9472640894. The cubic root of 5576198400 is about 1773.2885334880.

The spelling of 5576198400 in words is "five billion, five hundred seventy-six million, one hundred ninety-eight thousand, four hundred".