51552768960 has 1344 divisors, whose sum is σ = 233011943424. Its totient is φ = 10152345600.

The previous prime is 51552768937. The next prime is 51552768961. The reversal of 51552768960 is 6986725515.

51552768960 is a `hidden beast` number, since 5 + 1 + 552 + 7 + 6 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 51552768897 and 51552768906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51552768961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 500512269 + ... + 500512371.

Almost surely, 2^51552768960 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 51552768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116505971712).

51552768960 is an abundant number, since it is smaller than the sum of its proper divisors (181459174464).

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

51552768960 is a wasteful number, since it uses less digits than its factorization.

51552768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 51552768960 in words is "fifty-one billion, five hundred fifty-two million, seven hundred sixty-eight thousand, nine hundred sixty".