50975757381120 has 3840 divisors, whose sum is σ = 213818677585920. Its totient is φ = 10233839616000.

The previous prime is 50975757381113. The next prime is 50975757381137. The reversal of 50975757381120 is 2118375757905.

50975757381120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 504710469070 + ... + 504710469170.

It is an arithmetic number, because the mean of its divisors is an integer number (55681947288).

Almost surely, 2^{50975757381120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50975757381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106909338792960).

50975757381120 is an abundant number, since it is smaller than the sum of its proper divisors (162842920204800).

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

50975757381120 is a wasteful number, since it uses less digits than its factorization.

50975757381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18522000, while the sum is 60.

The spelling of 50975757381120 in words is "fifty trillion, nine hundred seventy-five billion, seven hundred fifty-seven million, three hundred eighty-one thousand, one hundred twenty".