5404510800 has 360 divisors, whose sum is σ = 21389115384. Its totient is φ = 1251901440.

The previous prime is 5404510763. The next prime is 5404510801. The reversal of 5404510800 is 80154045.

5404510800 is a `hidden beast` number, since 540 + 45 + 1 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2841316416 + 2563194384 = 53304^2 + 50628^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5404510801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792204 + ... + 798996.

Almost surely, 2^5404510800 is an apocalyptic number.

5404510800 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 5404510800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694557692).

5404510800 is an abundant number, since it is smaller than the sum of its proper divisors (15984604584).

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

5404510800 is a wasteful number, since it uses less digits than its factorization.

5404510800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5404510800 is about 73515.3779831132. The cubic root of 5404510800 is about 1754.8990128659.

Adding to 5404510800 its reverse (80154045), we get a palindrome (5484664845).

The spelling of 5404510800 in words is "five billion, four hundred four million, five hundred ten thousand, eight hundred".