5578624509120 has 1120 divisors, whose sum is σ = 21664947353280. Its totient is φ = 1362504499200.

The previous prime is 5578624509091. The next prime is 5578624509121. The reversal of 5578624509120 is 219054268755.

5578624509120 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 6 + 2 + 4 + 509 + 120 = 666.

It is a super-3 number, since 3×5578624509120³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5578624509121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9282236820 + ... + 9282237420.

It is an arithmetic number, because the mean of its divisors is an integer number (19343702994).

Almost surely, 2^{5578624509120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5578624509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832473676640).

5578624509120 is an abundant number, since it is smaller than the sum of its proper divisors (16086322844160).

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

5578624509120 is a wasteful number, since it uses less digits than its factorization.

5578624509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5578624509120 in words is "five trillion, five hundred seventy-eight billion, six hundred twenty-four million, five hundred nine thousand, one hundred twenty".