50742004135680 has 1296 divisors, whose sum is σ = 208365332430528. Its totient is φ = 11324915712000.

The previous prime is 50742004135673. The next prime is 50742004135717. The reversal of 50742004135680 is 8653140024705.

50742004135680 is a `hidden beast` number, since 5 + 0 + 7 + 42 + 0 + 0 + 41 + 3 + 568 + 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 143 ways as a sum of consecutive naturals, for example, 7266501469 + ... + 7266508451.

It is an arithmetic number, because the mean of its divisors is an integer number (160775719468).

Almost surely, 2^{50742004135680} 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 50742004135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104182666215264).

50742004135680 is an abundant number, since it is smaller than the sum of its proper divisors (157623328294848).

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

50742004135680 is a wasteful number, since it uses less digits than its factorization.

50742004135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 50742004135680 in words is "fifty trillion, seven hundred forty-two billion, four million, one hundred thirty-five thousand, six hundred eighty".