50820039809280 has 2880 divisors, whose sum is σ = 225848204144640. Its totient is φ = 10663546060800.

The previous prime is 50820039809269. The next prime is 50820039809323. The reversal of 50820039809280 is 8290893002805.

50820039809280 is a `hidden beast` number, since 50 + 8 + 200 + 39 + 80 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34130314776 + ... + 34130316264.

It is an arithmetic number, because the mean of its divisors is an integer number (78419515328).

Almost surely, 2^{50820039809280} 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 50820039809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112924102072320).

50820039809280 is an abundant number, since it is smaller than the sum of its proper divisors (175028164335360).

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

50820039809280 is a wasteful number, since it uses less digits than its factorization.

50820039809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 50820039809280 in words is "fifty trillion, eight hundred twenty billion, thirty-nine million, eight hundred nine thousand, two hundred eighty".