50980728960 has 288 divisors, whose sum is σ = 204785649900. Its totient is φ = 11652673536.

The previous prime is 50980728949. The next prime is 50980728973. The reversal of 50980728960 is 6982708905.

It is a happy number.

50980728960 is a `hidden beast` number, since 509 + 8 + 0 + 72 + 8 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46025695296 + 4955033664 = 214536^2 + 70392^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 50980728897 and 50980728906.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191926 + ... + 372554.

Almost surely, 2^50980728960 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 50980728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102392824950).

50980728960 is an abundant number, since it is smaller than the sum of its proper divisors (153804920940).

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

50980728960 is a wasteful number, since it uses less digits than its factorization.

50980728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180668 (or 180646 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 50980728960 in words is "fifty billion, nine hundred eighty million, seven hundred twenty-eight thousand, nine hundred sixty".