5239141447680 has 3072 divisors, whose sum is σ = 24625036800000. Its totient is φ = 1030936854528.

The previous prime is 5239141447679. The next prime is 5239141447681. The reversal of 5239141447680 is 867441419325.

5239141447680 is a `hidden beast` number, since 5 + 2 + 3 + 91 + 4 + 1 + 4 + 476 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5239141447679) and next prime (5239141447681).

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5239141447681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 180660049906 + ... + 180660049934.

It is an arithmetic number, because the mean of its divisors is an integer number (8015962500).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5239141447680 = 10478282895360, but 3⋅5239141447680 = 15717424343040 is not.

Almost surely, 2^{5239141447680} 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 5239141447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312518400000).

5239141447680 is an abundant number, since it is smaller than the sum of its proper divisors (19385895352320).

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

5239141447680 is a wasteful number, since it uses less digits than its factorization.

5239141447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5239141447680 in words is "five trillion, two hundred thirty-nine billion, one hundred forty-one million, four hundred forty-seven thousand, six hundred eighty".