5010638400 has 168 divisors, whose sum is σ = 18265790240. Its totient is φ = 1336158720.

The previous prime is 5010638363. The next prime is 5010638491. The reversal of 5010638400 is 48360105.

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

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 23 ways as a sum of consecutive naturals, for example, 14794 + ... + 101193.

Almost surely, 2^5010638400 is an apocalyptic number.

5010638400 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 5010638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132895120).

5010638400 is an abundant number, since it is smaller than the sum of its proper divisors (13255151840).

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

5010638400 is a wasteful number, since it uses less digits than its factorization.

5010638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116018 (or 115997 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5010638400 is about 70785.8629953750. The cubic root of 5010638400 is about 1711.1878481106.

Adding to 5010638400 its reverse (48360105), we get a palindrome (5058998505).

The spelling of 5010638400 in words is "five billion, ten million, six hundred thirty-eight thousand, four hundred".