51214689753120 has 576 divisors, whose sum is σ = 185866237799424. Its totient is φ = 12814104821760.

The previous prime is 51214689753091. The next prime is 51214689753163. The reversal of 51214689753120 is 2135798641215.

51214689753120 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 4 + 6 + 89 + 7 + 531 + 20 = 666.

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, 741422904 + ... + 741491976.

It is an arithmetic number, because the mean of its divisors is an integer number (322684440624).

It is a 1-persistent number, because it is pandigital, but 2⋅51214689753120 = 102429379506240 is not.

Almost surely, 2^{51214689753120} 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 51214689753120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92933118899712).

51214689753120 is an abundant number, since it is smaller than the sum of its proper divisors (134651548046304).

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

51214689753120 is a wasteful number, since it uses less digits than its factorization.

51214689753120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69545 (or 69534 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 51214689753120 in words is "fifty-one trillion, two hundred fourteen billion, six hundred eighty-nine million, seven hundred fifty-three thousand, one hundred twenty".