5780143670400 has 2880 divisors, whose sum is σ = 25582460820840. Its totient is φ = 1278797414400.

The previous prime is 5780143670377. The next prime is 5780143670453. The reversal of 5780143670400 is 40763410875.

5780143670400 is a `hidden beast` number, since 578 + 0 + 1 + 4 + 3 + 6 + 70 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3556060605504 + 2224083064896 = 1885752^2 + 1491336^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 19727452654 + ... + 19727452946.

Almost surely, 2^{5780143670400} is an apocalyptic number.

5780143670400 is a gapful number since it is divisible by the number (50) 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 5780143670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791230410420).

5780143670400 is an abundant number, since it is smaller than the sum of its proper divisors (19802317150440).

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

5780143670400 is a wasteful number, since it uses less digits than its factorization.

5780143670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 5780143670400 in words is "five trillion, seven hundred eighty billion, one hundred forty-three million, six hundred seventy thousand, four hundred".