5978385100800 has 936 divisors, whose sum is σ = 25548616904400. Its totient is φ = 1366457057280.

The previous prime is 5978385100777. The next prime is 5978385100813. The reversal of 5978385100800 is 80015838795.

5978385100800 is a `hidden beast` number, since 5 + 97 + 8 + 38 + 510 + 0 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135453136 + ... + 135497264.

Almost surely, 2^{5978385100800} is an apocalyptic number.

5978385100800 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 5978385100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774308452200).

5978385100800 is an abundant number, since it is smaller than the sum of its proper divisors (19570231803600).

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

5978385100800 is a wasteful number, since it uses less digits than its factorization.

5978385100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44186 (or 44146 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 5978385100800 in words is "five trillion, nine hundred seventy-eight billion, three hundred eighty-five million, one hundred thousand, eight hundred".