51298638133680 has 1920 divisors, whose sum is σ = 217191584563200. Its totient is φ = 10805718712320.

The previous prime is 51298638133669. The next prime is 51298638133753. The reversal of 51298638133680 is 8633183689215.

51298638133680 is a `hidden beast` number, since 5 + 1 + 2 + 98 + 63 + 81 + 336 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 98085349899 + ... + 98085350421.

It is an arithmetic number, because the mean of its divisors is an integer number (113120616960).

Almost surely, 2^{51298638133680} 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 51298638133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108595792281600).

51298638133680 is an abundant number, since it is smaller than the sum of its proper divisors (165892946429520).

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

51298638133680 is a wasteful number, since it uses less digits than its factorization.

51298638133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 51298638133680 in words is "fifty-one trillion, two hundred ninety-eight billion, six hundred thirty-eight million, one hundred thirty-three thousand, six hundred eighty".