5407012800 has 756 divisors, whose sum is σ = 22871765280. Its totient is φ = 1207664640.

The previous prime is 5407012759. The next prime is 5407012811. The reversal of 5407012800 is 82107045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 55742352 + ... + 55742448.

Almost surely, 2^5407012800 is an apocalyptic number.

5407012800 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 5407012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11435882640).

5407012800 is an abundant number, since it is smaller than the sum of its proper divisors (17464752480).

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

5407012800 is a wasteful number, since it uses less digits than its factorization.

5407012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5407012800 is about 73532.3928619217. The cubic root of 5407012800 is about 1755.1697792747.

Adding to 5407012800 its reverse (82107045), we get a palindrome (5489119845).

The spelling of 5407012800 in words is "five billion, four hundred seven million, twelve thousand, eight hundred".