5578610400000 has 1728 divisors, whose sum is σ = 22970534791680. Its totient is φ = 1323878400000.

The previous prime is 5578610399993. The next prime is 5578610400023. The reversal of 5578610400000 is 40168755.

5578610400000 is a `hidden beast` number, since 557 + 8 + 61 + 0 + 40 + 0 + 0 + 0 + 0 = 666.

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

It is a super-2 number, since 2×5578610400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12592799779 + ... + 12592800221.

It is an arithmetic number, because the mean of its divisors is an integer number (13293133560).

Almost surely, 2^{5578610400000} is an apocalyptic number.

5578610400000 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 5578610400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485267395840).

5578610400000 is an abundant number, since it is smaller than the sum of its proper divisors (17391924391680).

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

5578610400000 is an equidigital number, since it uses as much as digits as its factorization.

5578610400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 5578610400000 its reverse (40168755), we get a palindrome (5578650568755).

The spelling of 5578610400000 in words is "five trillion, five hundred seventy-eight billion, six hundred ten million, four hundred thousand".