5811780409344 has 1728 divisors, whose sum is σ = 22116033576000. Its totient is φ = 1516975423488.

The previous prime is 5811780409339. The next prime is 5811780409349. The reversal of 5811780409344 is 4439040871185.

5811780409344 is a `hidden beast` number, since 5 + 8 + 117 + 80 + 409 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (5811780409339) and next prime (5811780409349).

It is a tau number, because it is divible by the number of its divisors (1728).

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 (5811780409349) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59915261904 + ... + 59915262000.

Almost surely, 2^{5811780409344} is an apocalyptic number.

5811780409344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5811780409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058016788000).

5811780409344 is an abundant number, since it is smaller than the sum of its proper divisors (16304253166656).

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

5811780409344 is an frugal number, since it uses more digits than its factorization.

5811780409344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5811780409344 in words is "five trillion, eight hundred eleven billion, seven hundred eighty million, four hundred nine thousand, three hundred forty-four".