51681067200 has 1344 divisors, whose sum is σ = 229794816000. Its totient is φ = 11048140800.

The previous prime is 51681067189. The next prime is 51681067223. The reversal of 51681067200 is 276018615.

51681067200 is a `hidden beast` number, since 516 + 81 + 0 + 67 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346852726 + ... + 346852874.

Almost surely, 2^51681067200 is an apocalyptic number.

51681067200 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 51681067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114897408000).

51681067200 is an abundant number, since it is smaller than the sum of its proper divisors (178113748800).

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

51681067200 is a wasteful number, since it uses less digits than its factorization.

51681067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 51681067200 in words is "fifty-one billion, six hundred eighty-one million, sixty-seven thousand, two hundred".