51675153691248 has 120 divisors (see below), whose sum is σ = 145361545472000. Its totient is φ = 17136587774592.

The previous prime is 51675153691207. The next prime is 51675153691277. The reversal of 51675153691248 is 84219635157615.

51675153691248 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 5 + 1 + 536 + 91 + 2 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270388461 + ... + 270579507.

Almost surely, 2^{51675153691248} 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 51675153691248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72680772736000).

51675153691248 is an abundant number, since it is smaller than the sum of its proper divisors (93686391780752).

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

51675153691248 is a wasteful number, since it uses less digits than its factorization.

51675153691248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200699 (or 200690 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 51675153691248 in words is "fifty-one trillion, six hundred seventy-five billion, one hundred fifty-three million, six hundred ninety-one thousand, two hundred forty-eight".