50753222805600 has 1728 divisors, whose sum is σ = 215158004006400. Its totient is φ = 11434945167360.

The previous prime is 50753222805577. The next prime is 50753222805629. The reversal of 50753222805600 is 650822235705.

50753222805600 is a `hidden beast` number, since 5 + 0 + 7 + 5 + 3 + 2 + 2 + 2 + 80 + 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 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 287 ways as a sum of consecutive naturals, for example, 74967832462 + ... + 74967833138.

It is an arithmetic number, because the mean of its divisors is an integer number (124512733800).

Almost surely, 2^{50753222805600} is an apocalyptic number.

50753222805600 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 50753222805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107579002003200).

50753222805600 is an abundant number, since it is smaller than the sum of its proper divisors (164404781200800).

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

50753222805600 is a wasteful number, since it uses less digits than its factorization.

50753222805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 50753222805600 in words is "fifty trillion, seven hundred fifty-three billion, two hundred twenty-two million, eight hundred five thousand, six hundred".