51657250352128 has 176 divisors, whose sum is σ = 112575436416000. Its totient is φ = 23611268136960.

The previous prime is 51657250352117. The next prime is 51657250352131. The reversal of 51657250352128 is 82125305275615.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64526848 + ... + 65322496.

Almost surely, 2^{51657250352128} 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 51657250352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56287718208000).

51657250352128 is an abundant number, since it is smaller than the sum of its proper divisors (60918186063872).

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

51657250352128 is a wasteful number, since it uses less digits than its factorization.

51657250352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795806 (or 795788 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 52.

The spelling of 51657250352128 in words is "fifty-one trillion, six hundred fifty-seven billion, two hundred fifty million, three hundred fifty-two thousand, one hundred twenty-eight".