50638437273600 has 1872 divisors, whose sum is σ = 210053283021120. Its totient is φ = 11941281792000.

The previous prime is 50638437273551. The next prime is 50638437273629. The reversal of 50638437273600 is 637273483605.

50638437273600 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 8 + 4 + 3 + 7 + 27 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12378007555 + ... + 12378011645.

Almost surely, 2^{50638437273600} is an apocalyptic number.

50638437273600 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 50638437273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105026641510560).

50638437273600 is an abundant number, since it is smaller than the sum of its proper divisors (159414845747520).

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

50638437273600 is a wasteful number, since it uses less digits than its factorization.

50638437273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 50638437273600 in words is "fifty trillion, six hundred thirty-eight billion, four hundred thirty-seven million, two hundred seventy-three thousand, six hundred".