50493621103200 has 864 divisors, whose sum is σ = 203044404326400. Its totient is φ = 11696016384000.

The previous prime is 50493621103199. The next prime is 50493621103217. The reversal of 50493621103200 is 230112639405.

50493621103200 is a `hidden beast` number, since 5 + 0 + 4 + 9 + 3 + 621 + 1 + 0 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×50493621103200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 193830636 + ... + 194090964.

It is an arithmetic number, because the mean of its divisors is an integer number (235005097600).

Almost surely, 2^{50493621103200} is an apocalyptic number.

50493621103200 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 50493621103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101522202163200).

50493621103200 is an abundant number, since it is smaller than the sum of its proper divisors (152550783223200).

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

50493621103200 is a wasteful number, since it uses less digits than its factorization.

50493621103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260476 (or 260460 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 50493621103200 in words is "fifty trillion, four hundred ninety-three billion, six hundred twenty-one million, one hundred three thousand, two hundred".