5102211250400 has 576 divisors, whose sum is σ = 14110845973056. Its totient is φ = 1785618432000.

The previous prime is 5102211250387. The next prime is 5102211250403. The reversal of 5102211250400 is 40521122015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102211250403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9431074130 + ... + 9431074670.

It is an arithmetic number, because the mean of its divisors is an integer number (24497996481).

Almost surely, 2^{5102211250400} is an apocalyptic number.

5102211250400 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 5102211250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055422986528).

5102211250400 is an abundant number, since it is smaller than the sum of its proper divisors (9008634722656).

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

5102211250400 is a wasteful number, since it uses less digits than its factorization.

5102211250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 5102211250400 its reverse (40521122015), we get a palindrome (5142732372415).

The spelling of 5102211250400 in words is "five trillion, one hundred two billion, two hundred eleven million, two hundred fifty thousand, four hundred".