51933778623648 has 144 divisors (see below), whose sum is σ = 152589768903936. Its totient is φ = 16737557160960.

The previous prime is 51933778623647. The next prime is 51933778623653. The reversal of 51933778623648 is 84632687733915.

51933778623648 is a `hidden beast` number, since 5 + 19 + 3 + 377 + 8 + 6 + 236 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (51933778623647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7142715 + ... + 12445317.

It is an arithmetic number, because the mean of its divisors is an integer number (1059651172944).

Almost surely, 2^{51933778623648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51933778623648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76294884451968).

51933778623648 is an abundant number, since it is smaller than the sum of its proper divisors (100655990280288).

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

51933778623648 is a wasteful number, since it uses less digits than its factorization.

51933778623648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303747 (or 5303736 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 51933778623648 in words is "fifty-one trillion, nine hundred thirty-three billion, seven hundred seventy-eight million, six hundred twenty-three thousand, six hundred forty-eight".