50460560236800 has 1728 divisors, whose sum is σ = 221613815808000. Its totient is φ = 10984762736640.

The previous prime is 50460560236771. The next prime is 50460560236817. The reversal of 50460560236800 is 863206506405.

50460560236800 is a `hidden beast` number, since 5 + 0 + 4 + 6 + 0 + 5 + 602 + 36 + 8 + 0 + 0 = 666.

50460560236800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6649167406 + ... + 6649174994.

It is an arithmetic number, because the mean of its divisors is an integer number (128248736000).

Almost surely, 2^{50460560236800} is an apocalyptic number.

50460560236800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50460560236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110806907904000).

50460560236800 is an abundant number, since it is smaller than the sum of its proper divisors (171153255571200).

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

50460560236800 is a wasteful number, since it uses less digits than its factorization.

50460560236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 50460560236800 in words is "fifty trillion, four hundred sixty billion, five hundred sixty million, two hundred thirty-six thousand, eight hundred".