5578042982400 has 2160 divisors, whose sum is σ = 24880523100160. Its totient is φ = 1165728153600.

The previous prime is 5578042982363. The next prime is 5578042982443. The reversal of 5578042982400 is 42892408755.

5578042982400 is a `hidden beast` number, since 5 + 578 + 0 + 4 + 29 + 8 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×5578042982400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 15199027017 + ... + 15199027383.

Almost surely, 2^{5578042982400} is an apocalyptic number.

5578042982400 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 5578042982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440261550080).

5578042982400 is an abundant number, since it is smaller than the sum of its proper divisors (19302480117760).

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

5578042982400 is a wasteful number, since it uses less digits than its factorization.

5578042982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5578042982400 in words is "five trillion, five hundred seventy-eight billion, forty-two million, nine hundred eighty-two thousand, four hundred".