50794248960 has 1152 divisors, whose sum is σ = 229440798720. Its totient is φ = 10351411200.

The previous prime is 50794248877. The next prime is 50794248971. The reversal of 50794248960 is 6984249705.

50794248960 is a `hidden beast` number, since 50 + 79 + 42 + 489 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×50794248960² (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 = 50794248897 and 50794248906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97493500 + ... + 97494020.

It is an arithmetic number, because the mean of its divisors is an integer number (199167360).

Almost surely, 2^50794248960 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 50794248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114720399360).

50794248960 is an abundant number, since it is smaller than the sum of its proper divisors (178646549760).

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

50794248960 is a wasteful number, since it uses less digits than its factorization.

50794248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 50794248960 in words is "fifty billion, seven hundred ninety-four million, two hundred forty-eight thousand, nine hundred sixty".