5780610248160 has 384 divisors, whose sum is σ = 20991221798400. Its totient is φ = 1322432593920.

The previous prime is 5780610248159. The next prime is 5780610248177. The reversal of 5780610248160 is 618420160875.

It is a super-2 number, since 2×5780610248160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25670136 + ... + 25894344.

It is an arithmetic number, because the mean of its divisors is an integer number (54664640100).

Almost surely, 2^{5780610248160} 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 5780610248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495610899200).

5780610248160 is an abundant number, since it is smaller than the sum of its proper divisors (15210611550240).

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

5780610248160 is a wasteful number, since it uses less digits than its factorization.

5780610248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224514 (or 224506 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 5780610248160 in words is "five trillion, seven hundred eighty billion, six hundred ten million, two hundred forty-eight thousand, one hundred sixty".