51257531083968 has 1120 divisors, whose sum is σ = 173076578611200. Its totient is φ = 14865273446400.

The previous prime is 51257531083949. The next prime is 51257531084017. The reversal of 51257531083968 is 86938013575215.

51257531083968 is a `hidden beast` number, since 5 + 1 + 2 + 5 + 7 + 531 + 0 + 8 + 3 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23078581098 + ... + 23078583318.

Almost surely, 2^{51257531083968} 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 51257531083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538289305600).

51257531083968 is an abundant number, since it is smaller than the sum of its proper divisors (121819047527232).

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

51257531083968 is a wasteful number, since it uses less digits than its factorization.

51257531083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2472 counting only the distinct ones).

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

The spelling of 51257531083968 in words is "fifty-one trillion, two hundred fifty-seven billion, five hundred thirty-one million, eighty-three thousand, nine hundred sixty-eight".