50444117612000 has 1152 divisors, whose sum is σ = 159354268399872. Its totient is φ = 15578873856000.

The previous prime is 50444117611981. The next prime is 50444117612027. The reversal of 50444117612000 is 21671144405.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 7240432517 + ... + 7240439483.

It is an arithmetic number, because the mean of its divisors is an integer number (138328357986).

Almost surely, 2^{50444117612000} is an apocalyptic number.

50444117612000 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 50444117612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79677134199936).

50444117612000 is an abundant number, since it is smaller than the sum of its proper divisors (108910150787872).

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

50444117612000 is a wasteful number, since it uses less digits than its factorization.

50444117612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 50444117612000 its reverse (21671144405), we get a palindrome (50465788756405).

The spelling of 50444117612000 in words is "fifty trillion, four hundred forty-four billion, one hundred seventeen million, six hundred twelve thousand".