51334425216 has 160 divisors (see below), whose sum is σ = 153053018580. Its totient is φ = 17079828480.

The previous prime is 51334425199. The next prime is 51334425239. The reversal of 51334425216 is 61252443315.

51334425216 is a `hidden beast` number, since 5 + 13 + 3 + 4 + 425 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51275073600 + 59351616 = 226440^2 + 7704^2 .

It is a super-4 number, since 4×51334425216⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5978046 + ... + 5986626.

Almost surely, 2^51334425216 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 51334425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76526509290).

51334425216 is an abundant number, since it is smaller than the sum of its proper divisors (101718593364).

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

51334425216 is an equidigital number, since it uses as much as digits as its factorization.

51334425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9163 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 51334425216 in words is "fifty-one billion, three hundred thirty-four million, four hundred twenty-five thousand, two hundred sixteen".