51563381760 has 880 divisors, whose sum is σ = 205441505280. Its totient is φ = 12262440960.

The previous prime is 51563381747. The next prime is 51563381761. The reversal of 51563381760 is 6718336515.

51563381760 is a `hidden beast` number, since 5 + 1 + 5 + 633 + 8 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51563381761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 406010817 + ... + 406010943.

It is an arithmetic number, because the mean of its divisors is an integer number (233456256).

Almost surely, 2^51563381760 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 51563381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102720752640).

51563381760 is an abundant number, since it is smaller than the sum of its proper divisors (153878123520).

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

51563381760 is a wasteful number, since it uses less digits than its factorization.

51563381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 51563381760 in words is "fifty-one billion, five hundred sixty-three million, three hundred eighty-one thousand, seven hundred sixty".