5131779846480 has 640 divisors, whose sum is σ = 20699857981440. Its totient is φ = 1144105482240.

The previous prime is 5131779846397. The next prime is 5131779846503. The reversal of 5131779846480 is 846489771315.

5131779846480 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 7 + 7 + 98 + 464 + 80 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502568575 + ... + 502578785.

It is an arithmetic number, because the mean of its divisors is an integer number (32343528096).

Almost surely, 2^{5131779846480} 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 5131779846480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349928990720).

5131779846480 is an abundant number, since it is smaller than the sum of its proper divisors (15568078134960).

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

5131779846480 is a wasteful number, since it uses less digits than its factorization.

5131779846480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11056 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 5131779846480 in words is "five trillion, one hundred thirty-one billion, seven hundred seventy-nine million, eight hundred forty-six thousand, four hundred eighty".