51968296881216 has 189 divisors, whose sum is σ = 157220191188021. Its totient is φ = 16410003038208.

The previous prime is 51968296881161. The next prime is 51968296881233. The reversal of 51968296881216 is 61218869286915.

The square root of 51968296881216 is 7208904.

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

51968296881216 is a `hidden beast` number, since 51 + 96 + 8 + 296 + 88 + 121 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1882669386816 + 50085627494400 = 1372104^2 + 7077120^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3287252320 + ... + 3287268128.

Almost surely, 2^{51968296881216} is an apocalyptic number.

51968296881216 is the 7208904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51968296881216

51968296881216 is an abundant number, since it is smaller than the sum of its proper divisors (105251894306805).

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

51968296881216 is an frugal number, since it uses more digits than its factorization.

51968296881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31674 (or 15833 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 72.

The spelling of 51968296881216 in words is "fifty-one trillion, nine hundred sixty-eight billion, two hundred ninety-six million, eight hundred eighty-one thousand, two hundred sixteen".