51076073168640 has 432 divisors, whose sum is σ = 190396283575680. Its totient is φ = 12566975938560.

The previous prime is 51076073168633. The next prime is 51076073168689. The reversal of 51076073168640 is 4686137067015.

51076073168640 is a `hidden beast` number, since 5 + 10 + 7 + 607 + 3 + 16 + 8 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341527801 + ... + 341677319.

Almost surely, 2^{51076073168640} 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 51076073168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95198141787840).

51076073168640 is an abundant number, since it is smaller than the sum of its proper divisors (139320210407040).

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

51076073168640 is a wasteful number, since it uses less digits than its factorization.

51076073168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151840 (or 151823 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 51076073168640 in words is "fifty-one trillion, seventy-six billion, seventy-three million, one hundred sixty-eight thousand, six hundred forty".