51083663368752 has 320 divisors, whose sum is σ = 169737081845760. Its totient is φ = 14408007238656.

The previous prime is 51083663368733. The next prime is 51083663368769. The reversal of 51083663368752 is 25786336638015.

It is a happy number.

51083663368752 is a `hidden beast` number, since 510 + 8 + 3 + 6 + 6 + 3 + 3 + 68 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 51083663368752.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98477938 + ... + 98995310.

It is an arithmetic number, because the mean of its divisors is an integer number (530428380768).

Almost surely, 2^{51083663368752} 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 51083663368752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84868540922880).

51083663368752 is an abundant number, since it is smaller than the sum of its proper divisors (118653418477008).

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

51083663368752 is a wasteful number, since it uses less digits than its factorization.

51083663368752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517817 (or 517805 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 51083663368752 in words is "fifty-one trillion, eighty-three billion, six hundred sixty-three million, three hundred sixty-eight thousand, seven hundred fifty-two".