50681076105600 has 1536 divisors, whose sum is σ = 190750053120000. Its totient is φ = 13302558720000.

The previous prime is 50681076105581. The next prime is 50681076105601. The reversal of 50681076105600 is 650167018605.

50681076105600 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 1 + 0 + 76 + 10 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50681076105601) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 210294921480 + ... + 210294921720.

It is an arithmetic number, because the mean of its divisors is an integer number (124186232500).

Almost surely, 2^{50681076105600} is an apocalyptic number.

50681076105600 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 50681076105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95375026560000).

50681076105600 is an abundant number, since it is smaller than the sum of its proper divisors (140068977014400).

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

50681076105600 is a wasteful number, since it uses less digits than its factorization.

50681076105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 50681076105600 in words is "fifty trillion, six hundred eighty-one billion, seventy-six million, one hundred five thousand, six hundred".