5578089620400 has 720 divisors, whose sum is σ = 21310888015872. Its totient is φ = 1339928064000.

The previous prime is 5578089620371. The next prime is 5578089620423. The reversal of 5578089620400 is 40269808755.

5578089620400 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 0 + 8 + 9 + 620 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5578089620400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2057575045 + ... + 2057577755.

Almost surely, 2^{5578089620400} is an apocalyptic number.

5578089620400 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 5578089620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655444007936).

5578089620400 is an abundant number, since it is smaller than the sum of its proper divisors (15732798395472).

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

5578089620400 is a wasteful number, since it uses less digits than its factorization.

5578089620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5578089620400 in words is "five trillion, five hundred seventy-eight billion, eighty-nine million, six hundred twenty thousand, four hundred".