5406912000 has 800 divisors, whose sum is σ = 23172177600. Its totient is φ = 1227571200.

The previous prime is 5406911987. The next prime is 5406912001. The reversal of 5406912000 is 2196045.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406912001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36287926 + ... + 36288074.

It is an arithmetic number, because the mean of its divisors is an integer number (28965222).

Almost surely, 2^5406912000 is an apocalyptic number.

5406912000 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 5406912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586088800).

5406912000 is an abundant number, since it is smaller than the sum of its proper divisors (17765265600).

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

5406912000 is an equidigital number, since it uses as much as digits as its factorization.

5406912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5406912000 is about 73531.7074465159. The cubic root of 5406912000 is about 1755.1588723149.

The spelling of 5406912000 in words is "five billion, four hundred six million, nine hundred twelve thousand".