5051522400 has 288 divisors, whose sum is σ = 17683868160. Its totient is φ = 1248491520.

The previous prime is 5051522393. The next prime is 5051522429. The reversal of 5051522400 is 42251505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2142022 + ... + 2144378.

It is an arithmetic number, because the mean of its divisors is an integer number (61402320).

Almost surely, 2^5051522400 is an apocalyptic number.

5051522400 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 5051522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841934080).

5051522400 is an abundant number, since it is smaller than the sum of its proper divisors (12632345760).

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

5051522400 is a wasteful number, since it uses less digits than its factorization.

5051522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 5051522400 is about 71074.0627796104. The cubic root of 5051522400 is about 1715.8293580079.

Adding to 5051522400 its reverse (42251505), we get a palindrome (5093773905).

The spelling of 5051522400 in words is "five billion, fifty-one million, five hundred twenty-two thousand, four hundred".