5102222400 has 504 divisors, whose sum is σ = 20532998304. Its totient is φ = 1235865600.

The previous prime is 5102222351. The next prime is 5102222401. The reversal of 5102222400 is 42222015.

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

It is not an unprimeable number, because it can be changed into a prime (5102222401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4276204 + ... + 4277396.

It is an arithmetic number, because the mean of its divisors is an integer number (40740076).

Almost surely, 2^5102222400 is an apocalyptic number.

5102222400 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 5102222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266499152).

5102222400 is an abundant number, since it is smaller than the sum of its proper divisors (15430775904).

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

5102222400 is a wasteful number, since it uses less digits than its factorization.

5102222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5102222400 is about 71429.8425029763. The cubic root of 5102222400 is about 1721.5506117703.

Adding to 5102222400 its reverse (42222015), we get a palindrome (5144444415).

The spelling of 5102222400 in words is "five billion, one hundred two million, two hundred twenty-two thousand, four hundred".