5004201600 has 384 divisors, whose sum is σ = 19396972800. Its totient is φ = 1255587840.

The previous prime is 5004201581. The next prime is 5004201613. The reversal of 5004201600 is 61024005.

It is a happy number.

5004201600 is a `hidden beast` number, since 500 + 4 + 2 + 0 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×5004201600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467097 + ... + 1470503.

It is an arithmetic number, because the mean of its divisors is an integer number (50512950).

Almost surely, 2^5004201600 is an apocalyptic number.

5004201600 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 5004201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698486400).

5004201600 is an abundant number, since it is smaller than the sum of its proper divisors (14392771200).

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

5004201600 is a wasteful number, since it uses less digits than its factorization.

5004201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5004201600 is about 70740.3816783596. The cubic root of 5004201600 is about 1710.4547882375.

Adding to 5004201600 its reverse (61024005), we get a palindrome (5065225605).

The spelling of 5004201600 in words is "five billion, four million, two hundred one thousand, six hundred".