51840205824000 has 3584 divisors, whose sum is σ = 213679833808896. Its totient is φ = 11010048000000.

The previous prime is 51840205823999. The next prime is 51840205824019. The reversal of 51840205824000 is 42850204815.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 51840205824000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 730143743965 + ... + 730143744035.

It is an arithmetic number, because the mean of its divisors is an integer number (59620489344).

Almost surely, 2^{51840205824000} is an apocalyptic number.

51840205824000 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 51840205824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106839916904448).

51840205824000 is an abundant number, since it is smaller than the sum of its proper divisors (161839627984896).

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

51840205824000 is a wasteful number, since it uses less digits than its factorization.

51840205824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The spelling of 51840205824000 in words is "fifty-one trillion, eight hundred forty billion, two hundred five million, eight hundred twenty-four thousand".