48361568389200 has 960 divisors, whose sum is σ = 194540950487040. Its totient is φ = 11304624384000.

The previous prime is 48361568389187. The next prime is 48361568389213. The reversal of 48361568389200 is 298386516384.

It is a happy number.

48361568389200 is a `hidden beast` number, since 4 + 8 + 3 + 61 + 568 + 3 + 8 + 9 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48361568389187) and next prime (48361568389213).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1020111897 + ... + 1020159303.

It is an arithmetic number, because the mean of its divisors is an integer number (202646823424).

Almost surely, 2^{48361568389200} is an apocalyptic number.

48361568389200 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 48361568389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97270475243520).

48361568389200 is an abundant number, since it is smaller than the sum of its proper divisors (146179382097840).

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

48361568389200 is a wasteful number, since it uses less digits than its factorization.

48361568389200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47753 (or 47736 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 48361568389200 in words is "forty-eight trillion, three hundred sixty-one billion, five hundred sixty-eight million, three hundred eighty-nine thousand, two hundred".