5782977948060 has 144 divisors (see below), whose sum is σ = 17622720460800. Its totient is φ = 1535007664512.

The previous prime is 5782977948049. The next prime is 5782977948061. The reversal of 5782977948060 is 608497792875.

5782977948060 is a `hidden beast` number, since 5 + 7 + 82 + 9 + 7 + 7 + 9 + 480 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5782977948060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782977948061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238569421 + ... + 238593659.

It is an arithmetic number, because the mean of its divisors is an integer number (122380003200).

Almost surely, 2^{5782977948060} 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 5782977948060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8811360230400).

5782977948060 is an abundant number, since it is smaller than the sum of its proper divisors (11839742512740).

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

5782977948060 is a wasteful number, since it uses less digits than its factorization.

5782977948060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30320 (or 30315 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 5782977948060 in words is "five trillion, seven hundred eighty-two billion, nine hundred seventy-seven million, nine hundred forty-eight thousand, sixty".