107478146443200 has 672 divisors, whose sum is σ = 394299047620800. Its totient is φ = 25448803860480.

The previous prime is 107478146443169. The next prime is 107478146443303. The reversal of 107478146443200 is 2344641874701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486672004 + ... + 486892796.

It is an arithmetic number, because the mean of its divisors is an integer number (586754535150).

Almost surely, 2^{107478146443200} is an apocalyptic number.

107478146443200 is a gapful number since it is divisible by the number (10) 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 107478146443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197149523810400).

107478146443200 is an abundant number, since it is smaller than the sum of its proper divisors (286820901177600).

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

107478146443200 is a wasteful number, since it uses less digits than its factorization.

107478146443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221129 (or 221114 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 107478146443200 in words is "one hundred seven trillion, four hundred seventy-eight billion, one hundred forty-six million, four hundred forty-three thousand, two hundred".