51413213233200 has 1920 divisors, whose sum is σ = 212561730734080. Its totient is φ = 10333893427200.

The previous prime is 51413213233189. The next prime is 51413213233219. The reversal of 51413213233200 is 233231231415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83058502491 + ... + 83058503109.

Almost surely, 2^{51413213233200} is an apocalyptic number.

51413213233200 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 51413213233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106280865367040).

51413213233200 is an abundant number, since it is smaller than the sum of its proper divisors (161148517500880).

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

51413213233200 is a wasteful number, since it uses less digits than its factorization.

51413213233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 51413213233200 its reverse (233231231415), we get a palindrome (51646444464615).

The spelling of 51413213233200 in words is "fifty-one trillion, four hundred thirteen billion, two hundred thirteen million, two hundred thirty-three thousand, two hundred".