51563364430116 has 192 divisors, whose sum is σ = 152925406341120. Its totient is φ = 13133241600000.

The previous prime is 51563364430079. The next prime is 51563364430133. The reversal of 51563364430116 is 61103446336515.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20681566 + ... + 23040266.

It is an arithmetic number, because the mean of its divisors is an integer number (796486491360).

Almost surely, 2^{51563364430116} 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 51563364430116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76462703170560).

51563364430116 is an abundant number, since it is smaller than the sum of its proper divisors (101362041911004).

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

51563364430116 is a wasteful number, since it uses less digits than its factorization.

51563364430116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359186 (or 2359184 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 51563364430116 in words is "fifty-one trillion, five hundred sixty-three billion, three hundred sixty-four million, four hundred thirty thousand, one hundred sixteen".