51295368136320 has 3840 divisors, whose sum is σ = 237466359936000. Its totient is φ = 10105366118400.

The previous prime is 51295368136303. The next prime is 51295368136349. The reversal of 51295368136320 is 2363186359215.

51295368136320 is a `hidden beast` number, since 5 + 1 + 2 + 9 + 536 + 81 + 3 + 6 + 3 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 344264215606 + ... + 344264215754.

It is an arithmetic number, because the mean of its divisors is an integer number (61840197900).

Almost surely, 2^{51295368136320} 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 51295368136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118733179968000).

51295368136320 is an abundant number, since it is smaller than the sum of its proper divisors (186170991799680).

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

51295368136320 is a wasteful number, since it uses less digits than its factorization.

51295368136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 51295368136320 in words is "fifty-one trillion, two hundred ninety-five billion, three hundred sixty-eight million, one hundred thirty-six thousand, three hundred twenty".