5599910400 has 480 divisors, whose sum is σ = 21481625088. Its totient is φ = 1259520000.

The previous prime is 5599910399. The next prime is 5599910453. The reversal of 5599910400 is 40199955.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22310275 + ... + 22310525.

Almost surely, 2^5599910400 is an apocalyptic number.

5599910400 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 5599910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740812544).

5599910400 is an abundant number, since it is smaller than the sum of its proper divisors (15881714688).

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

5599910400 is a wasteful number, since it uses less digits than its factorization.

5599910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 5599910400 is about 74832.5490679023. The cubic root of 5599910400 is about 1775.7985324587.

The spelling of 5599910400 in words is "five billion, five hundred ninety-nine million, nine hundred ten thousand, four hundred".