5578350901200 has 720 divisors, whose sum is σ = 24295199864832. Its totient is φ = 1151452800000.

The previous prime is 5578350901199. The next prime is 5578350901237. The reversal of 5578350901200 is 21090538755.

5578350901200 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 350 + 90 + 1 + 200 = 666.

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

It is a super-2 number, since 2×5578350901200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 41790565 + ... + 41923835.

Almost surely, 2^{5578350901200} is an apocalyptic number.

5578350901200 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 5578350901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147599932416).

5578350901200 is an abundant number, since it is smaller than the sum of its proper divisors (18716848963632).

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

5578350901200 is a wasteful number, since it uses less digits than its factorization.

5578350901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133464 (or 133450 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5578350901200 in words is "five trillion, five hundred seventy-eight billion, three hundred fifty million, nine hundred one thousand, two hundred".