51233212800 has 1920 divisors, whose sum is σ = 251231777280. Its totient is φ = 9953280000.

The previous prime is 51233212787. The next prime is 51233212859. The reversal of 51233212800 is 821233215.

51233212800 is a `hidden beast` number, since 51 + 2 + 332 + 1 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 339292725 + ... + 339292875.

It is an arithmetic number, because the mean of its divisors is an integer number (130849884).

Almost surely, 2^51233212800 is an apocalyptic number.

51233212800 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 51233212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125615888640).

51233212800 is an abundant number, since it is smaller than the sum of its proper divisors (199998564480).

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

51233212800 is a wasteful number, since it uses less digits than its factorization.

51233212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 51233212800 in words is "fifty-one billion, two hundred thirty-three million, two hundred twelve thousand, eight hundred".