51838036840800 has 1728 divisors, whose sum is σ = 228494955386880. Its totient is φ = 11294857728000.

The previous prime is 51838036840781. The next prime is 51838036840819. The reversal of 51838036840800 is 804863083815.

51838036840800 is a `hidden beast` number, since 51 + 83 + 80 + 36 + 8 + 408 + 0 + 0 = 666.

51838036840800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51838036840781) and next prime (51838036840819).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2198285010 + ... + 2198308590.

It is an arithmetic number, because the mean of its divisors is an integer number (132230876960).

Almost surely, 2^{51838036840800} is an apocalyptic number.

51838036840800 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 51838036840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114247477693440).

51838036840800 is an abundant number, since it is smaller than the sum of its proper divisors (176656918546080).

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

51838036840800 is a wasteful number, since it uses less digits than its factorization.

51838036840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23722 (or 23696 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 51838036840800 in words is "fifty-one trillion, eight hundred thirty-eight billion, thirty-six million, eight hundred forty thousand, eight hundred".