5054162400 has 288 divisors, whose sum is σ = 20891162880. Its totient is φ = 1155202560.

The previous prime is 5054162389. The next prime is 5054162417. The reversal of 5054162400 is 42614505.

5054162400 is a `hidden beast` number, since 5 + 0 + 5 + 416 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 134487 + ... + 167913.

It is an arithmetic number, because the mean of its divisors is an integer number (72538760).

Almost surely, 2^5054162400 is an apocalyptic number.

5054162400 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 5054162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445581440).

5054162400 is an abundant number, since it is smaller than the sum of its proper divisors (15837000480).

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

5054162400 is a wasteful number, since it uses less digits than its factorization.

5054162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33463 (or 33444 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5054162400 is about 71092.6325296792. The cubic root of 5054162400 is about 1716.1282118493.

Adding to 5054162400 its reverse (42614505), we get a palindrome (5096776905).

The spelling of 5054162400 in words is "five billion, fifty-four million, one hundred sixty-two thousand, four hundred".