51265891984320 has 2520 divisors, whose sum is σ = 220783839979824. Its totient is φ = 11245980155904.

The previous prime is 51265891984319. The next prime is 51265891984343. The reversal of 51265891984320 is 2348919856215.

51265891984320 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 5 + 8 + 9 + 198 + 432 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 26883004807 + ... + 26883006713.

Almost surely, 2^{51265891984320} 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 51265891984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110391919989912).

51265891984320 is an abundant number, since it is smaller than the sum of its proper divisors (169517947995504).

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

51265891984320 is a wasteful number, since it uses less digits than its factorization.

51265891984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 51265891984320 in words is "fifty-one trillion, two hundred sixty-five billion, eight hundred ninety-one million, nine hundred eighty-four thousand, three hundred twenty".