50864837760 has 1344 divisors, whose sum is σ = 216186962040. Its totient is φ = 11386552320.

The previous prime is 50864837701. The next prime is 50864837791. The reversal of 50864837760 is 6773846805.

50864837760 is a `hidden beast` number, since 508 + 6 + 4 + 8 + 3 + 77 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48826857024 + 2037980736 = 220968^2 + 45144^2 .

It is a super-2 number, since 2×50864837760² (a number of 22 digits) contains 22 as substring.

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 = 50864837697 and 50864837706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 959713894 + ... + 959713946.

Almost surely, 2^50864837760 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 50864837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108093481020).

50864837760 is an abundant number, since it is smaller than the sum of its proper divisors (165322124280).

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

50864837760 is a wasteful number, since it uses less digits than its factorization.

50864837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 50864837760 in words is "fifty billion, eight hundred sixty-four million, eight hundred thirty-seven thousand, seven hundred sixty".