51667108416 has 945 divisors, whose sum is σ = 200724722121. Its totient is φ = 13092710400.

The previous prime is 51667108349. The next prime is 51667108447. The reversal of 51667108416 is 61480176615.

The square root of 51667108416 is 227304.

It is a perfect power (a square), and thus also a powerful number.

51667108416 is a `hidden beast` number, since 5 + 166 + 71 + 0 + 8 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2489610816 + 49177497600 = 49896^2 + 221760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1260173356 + ... + 1260173396.

Almost surely, 2^51667108416 is an apocalyptic number.

51667108416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

51667108416 is the 227304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51667108416

51667108416 is an abundant number, since it is smaller than the sum of its proper divisors (149057613705).

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

51667108416 is a wasteful number, since it uses less digits than its factorization.

51667108416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 51667108416 in words is "fifty-one billion, six hundred sixty-seven million, one hundred eight thousand, four hundred sixteen".