5578238952000 has 1344 divisors, whose sum is σ = 24200406816768. Its totient is φ = 1207941120000.

The previous prime is 5578238951963. The next prime is 5578238952001. The reversal of 5578238952000 is 2598328755.

5578238952000 is a `hidden beast` number, since 5 + 5 + 7 + 82 + 38 + 9 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×5578238952000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5578238952001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319167262 + ... + 319184738.

It is an arithmetic number, because the mean of its divisors is an integer number (18006255072).

Almost surely, 2^{5578238952000} is an apocalyptic number.

5578238952000 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 5578238952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100203408384).

5578238952000 is an abundant number, since it is smaller than the sum of its proper divisors (18622167864768).

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

5578238952000 is a wasteful number, since it uses less digits than its factorization.

5578238952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17565 (or 17542 counting only the distinct ones).

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

The spelling of 5578238952000 in words is "five trillion, five hundred seventy-eight billion, two hundred thirty-eight million, nine hundred fifty-two thousand".