50753878560 has 1152 divisors, whose sum is σ = 229345966080. Its totient is φ = 10363852800.

The previous prime is 50753878543. The next prime is 50753878657. The reversal of 50753878560 is 6587835705.

50753878560 is a `hidden beast` number, since 5 + 0 + 7 + 5 + 3 + 8 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 50753878497 and 50753878506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165321927 + ... + 165322233.

It is an arithmetic number, because the mean of its divisors is an integer number (199085040).

Almost surely, 2^50753878560 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 50753878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114672983040).

50753878560 is an abundant number, since it is smaller than the sum of its proper divisors (178592087520).

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

50753878560 is a wasteful number, since it uses less digits than its factorization.

50753878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 50753878560 in words is "fifty billion, seven hundred fifty-three million, eight hundred seventy-eight thousand, five hundred sixty".