51212541169152 has 960 divisors, whose sum is σ = 170035830581760. Its totient is φ = 14694594969600.

The previous prime is 51212541169033. The next prime is 51212541169171. The reversal of 51212541169152 is 25196114521215.

51212541169152 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 2 + 541 + 16 + 91 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51212541169098 and 51212541169107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41874522013 + ... + 41874523235.

It is an arithmetic number, because the mean of its divisors is an integer number (177120656856).

Almost surely, 2^{51212541169152} 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 51212541169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85017915290880).

51212541169152 is an abundant number, since it is smaller than the sum of its proper divisors (118823289412608).

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

51212541169152 is a wasteful number, since it uses less digits than its factorization.

51212541169152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1796 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The spelling of 51212541169152 in words is "fifty-one trillion, two hundred twelve billion, five hundred forty-one million, one hundred sixty-nine thousand, one hundred fifty-two".