51014222400 has 168 divisors, whose sum is σ = 167654467840. Its totient is φ = 13580605440.

The previous prime is 51014222381. The next prime is 51014222417. The reversal of 51014222400 is 422241015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904846 + ... + 2922354.

Almost surely, 2^51014222400 is an apocalyptic number.

51014222400 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 51014222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83827233920).

51014222400 is an abundant number, since it is smaller than the sum of its proper divisors (116640245440).

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

51014222400 is a wasteful number, since it uses less digits than its factorization.

51014222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18141 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 51014222400 its reverse (422241015), we get a palindrome (51436463415).

The spelling of 51014222400 in words is "fifty-one billion, fourteen million, two hundred twenty-two thousand, four hundred".