51834816000000 has 2548 divisors, whose sum is σ = 214024250923272. Its totient is φ = 12441600000000.

The previous prime is 51834815999893. The next prime is 51834816000007. The reversal of 51834816000000 is 61843815.

51834816000000 is a `hidden beast` number, since 5 + 1 + 8 + 3 + 48 + 1 + 600 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51834816000007) by changing a digit.

It is a polite number, since it can be written in 195 ways as a sum of consecutive naturals, for example, 513215999950 + ... + 513216000050.

Almost surely, 2^{51834816000000} is an apocalyptic number.

51834816000000 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 51834816000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107012125461636).

51834816000000 is an abundant number, since it is smaller than the sum of its proper divisors (162189434923272).

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

51834816000000 is an frugal number, since it uses more digits than its factorization.

51834816000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 51834816000000 its reverse (61843815), we get a palindrome (51834877843815).

The spelling of 51834816000000 in words is "fifty-one trillion, eight hundred thirty-four billion, eight hundred sixteen million", and thus it is an aban number.