51354484665120 has 2688 divisors, whose sum is σ = 233631778222080. Its totient is φ = 10371158507520.

The previous prime is 51354484665097. The next prime is 51354484665157. The reversal of 51354484665120 is 2156648445315.

51354484665120 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 44 + 84 + 6 + 6 + 512 + 0 = 666.

51354484665120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51354484665120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 31917018876 + ... + 31917020484.

It is an arithmetic number, because the mean of its divisors is an integer number (86916584160).

Almost surely, 2^{51354484665120} 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 51354484665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116815889111040).

51354484665120 is an abundant number, since it is smaller than the sum of its proper divisors (182277293556960).

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

51354484665120 is a wasteful number, since it uses less digits than its factorization.

51354484665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 51354484665120 in words is "fifty-one trillion, three hundred fifty-four billion, four hundred eighty-four million, six hundred sixty-five thousand, one hundred twenty".