5406544000 has 512 divisors, whose sum is σ = 16841260800. Its totient is φ = 1695744000.

The previous prime is 5406543943. The next prime is 5406544027. The reversal of 5406544000 is 4456045.

It is a self number, because there is not a number n which added to its sum of digits gives 5406544000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38895931 + ... + 38896069.

Almost surely, 2^5406544000 is an apocalyptic number.

5406544000 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 5406544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

5406544000 is an abundant number, since it is smaller than the sum of its proper divisors (11434716800).

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

5406544000 is a wasteful number, since it uses less digits than its factorization.

5406544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 5406544000 is about 73529.2050820625. The cubic root of 5406544000 is about 1755.1190521046.

The spelling of 5406544000 in words is "five billion, four hundred six million, five hundred forty-four thousand".