5002112270400 has 672 divisors, whose sum is σ = 19295652999168. Its totient is φ = 1110835814400.

The previous prime is 5002112270399. The next prime is 5002112270417. The reversal of 5002112270400 is 40722112005.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5002112270400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183408765 + ... + 183436035.

It is an arithmetic number, because the mean of its divisors is an integer number (28713769344).

Almost surely, 2^{5002112270400} is an apocalyptic number.

5002112270400 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 5002112270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647826499584).

5002112270400 is an abundant number, since it is smaller than the sum of its proper divisors (14293540728768).

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

5002112270400 is a wasteful number, since it uses less digits than its factorization.

5002112270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27459 (or 27444 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 5002112270400 its reverse (40722112005), we get a palindrome (5042834382405).

The spelling of 5002112270400 in words is "five trillion, two billion, one hundred twelve million, two hundred seventy thousand, four hundred".