50479760580480 has 1536 divisors, whose sum is σ = 228890500876800. Its totient is φ = 10396258467840.

The previous prime is 50479760580463. The next prime is 50479760580559. The reversal of 50479760580480 is 8408506797405.

50479760580480 is a `hidden beast` number, since 5 + 0 + 4 + 7 + 9 + 7 + 6 + 0 + 580 + 48 + 0 = 666.

50479760580480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 1052448979 + ... + 1052496941.

It is an arithmetic number, because the mean of its divisors is an integer number (149017253175).

Almost surely, 2^{50479760580480} 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 50479760580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114445250438400).

50479760580480 is an abundant number, since it is smaller than the sum of its proper divisors (178410740296320).

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

50479760580480 is a wasteful number, since it uses less digits than its factorization.

50479760580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48129 (or 48104 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 50479760580480 in words is "fifty trillion, four hundred seventy-nine billion, seven hundred sixty million, five hundred eighty thousand, four hundred eighty".