51214159816704 has 672 divisors, whose sum is σ = 161978678316000. Its totient is φ = 16136568078336.

The previous prime is 51214159816697. The next prime is 51214159816763. The reversal of 51214159816704 is 40761895141215.

It is a happy number.

51214159816704 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 41 + 598 + 1 + 6 + 7 + 0 + 4 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14438723859 + ... + 14438727405.

It is an arithmetic number, because the mean of its divisors is an integer number (241039699875).

Almost surely, 2^{51214159816704} is an apocalyptic number.

51214159816704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51214159816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80989339158000).

51214159816704 is an abundant number, since it is smaller than the sum of its proper divisors (110764518499296).

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

51214159816704 is an equidigital number, since it uses as much as digits as its factorization.

51214159816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 51214159816704 in words is "fifty-one trillion, two hundred fourteen billion, one hundred fifty-nine million, eight hundred sixteen thousand, seven hundred four".