51040468617600 has 2304 divisors, whose sum is σ = 222500799037440. Its totient is φ = 9980153856000.

The previous prime is 51040468617527. The next prime is 51040468617601. The reversal of 51040468617600 is 671686404015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51040468617600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51040468617601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31370907987 + ... + 31370909613.

It is an arithmetic number, because the mean of its divisors is an integer number (96571527360).

Almost surely, 2^{51040468617600} is an apocalyptic number.

51040468617600 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 51040468617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111250399518720).

51040468617600 is an abundant number, since it is smaller than the sum of its proper divisors (171460330419840).

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

51040468617600 is a wasteful number, since it uses less digits than its factorization.

51040468617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 51040468617600 in words is "fifty-one trillion, forty billion, four hundred sixty-eight million, six hundred seventeen thousand, six hundred".