5555110400 has 360 divisors, whose sum is σ = 16984594836. Its totient is φ = 1789132800.

The previous prime is 5555110373. The next prime is 5555110411. The reversal of 5555110400 is 40115555.

It can be written as a sum of positive squares in 6 ways, for example, as 2202237184 + 3352873216 = 46928^2 + 57904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5555110400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10662140 + ... + 10662660.

Almost surely, 2^5555110400 is an apocalyptic number.

5555110400 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 5555110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492297418).

5555110400 is an abundant number, since it is smaller than the sum of its proper divisors (11429484436).

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

5555110400 is a wasteful number, since it uses less digits than its factorization.

5555110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The square root of 5555110400 is about 74532.6129959228. The cubic root of 5555110400 is about 1771.0503092042.

Adding to 5555110400 its reverse (40115555), we get a palindrome (5595225955).

The spelling of 5555110400 in words is "five billion, five hundred fifty-five million, one hundred ten thousand, four hundred".