5405184000 has 832 divisors, whose sum is σ = 22080314880. Its totient is φ = 1297612800.

The previous prime is 5405183989. The next prime is 5405184007. The reversal of 5405184000 is 4815045.

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 (5405184007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235007989 + ... + 235008011.

It is an arithmetic number, because the mean of its divisors is an integer number (26538840).

Almost surely, 2^5405184000 is an apocalyptic number.

5405184000 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 5405184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040157440).

5405184000 is an abundant number, since it is smaller than the sum of its proper divisors (16675130880).

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

5405184000 is a wasteful number, since it uses less digits than its factorization.

5405184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

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

The square root of 5405184000 is about 73519.9564744158. The cubic root of 5405184000 is about 1754.9718747776.

Adding to 5405184000 its reverse (4815045), we get a palindrome (5409999045).

The spelling of 5405184000 in words is "five billion, four hundred five million, one hundred eighty-four thousand".