51123468245760 has 1440 divisors, whose sum is σ = 201303532953600. Its totient is φ = 12339399720960.

The previous prime is 51123468245737. The next prime is 51123468245761. The reversal of 51123468245760 is 6754286432115.

51123468245760 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 3 + 4 + 68 + 2 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×51123468245760² (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 a junction number, because it is equal to n+sod(n) for n = 51123468245697 and 51123468245706.

It is not an unprimeable number, because it can be changed into a prime (51123468245761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4824328782 + ... + 4824339378.

Almost surely, 2^{51123468245760} 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 51123468245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100651766476800).

51123468245760 is an abundant number, since it is smaller than the sum of its proper divisors (150180064707840).

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

51123468245760 is a wasteful number, since it uses less digits than its factorization.

51123468245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 51123468245760 in words is "fifty-one trillion, one hundred twenty-three billion, four hundred sixty-eight million, two hundred forty-five thousand, seven hundred sixty".