50357821409280 has 6144 divisors, whose sum is σ = 250665891840000. Its totient is φ = 9390800240640.

The previous prime is 50357821409263. The next prime is 50357821409327. The reversal of 50357821409280 is 8290412875305.

50357821409280 is a `hidden beast` number, since 5 + 0 + 3 + 578 + 2 + 1 + 40 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 950147573734 + ... + 950147573786.

It is an arithmetic number, because the mean of its divisors is an integer number (40798485000).

Almost surely, 2^{50357821409280} 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 50357821409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125332945920000).

50357821409280 is an abundant number, since it is smaller than the sum of its proper divisors (200308070430720).

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

50357821409280 is a wasteful number, since it uses less digits than its factorization.

50357821409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 50357821409280 in words is "fifty trillion, three hundred fifty-seven billion, eight hundred twenty-one million, four hundred nine thousand, two hundred eighty".