48164809939200 has 1296 divisors, whose sum is σ = 188944351232000. Its totient is φ = 12105328435200.

The previous prime is 48164809939199. The next prime is 48164809939249. The reversal of 48164809939200 is 293990846184.

48164809939200 is a `hidden beast` number, since 4 + 8 + 16 + 480 + 99 + 39 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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, 5880207105 + ... + 5880215295.

Almost surely, 2^{48164809939200} is an apocalyptic number.

48164809939200 is a gapful number since it is divisible by the number (40) 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 48164809939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94472175616000).

48164809939200 is an abundant number, since it is smaller than the sum of its proper divisors (140779541292800).

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

48164809939200 is a wasteful number, since it uses less digits than its factorization.

48164809939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 48164809939200 in words is "forty-eight trillion, one hundred sixty-four billion, eight hundred nine million, nine hundred thirty-nine thousand, two hundred".