4848678727200 has 3168 divisors, whose sum is σ = 23381775470592. Its totient is φ = 952342272000.

The previous prime is 4848678727187. The next prime is 4848678727213. The reversal of 4848678727200 is 27278768484.

4848678727200 is a `hidden beast` number, since 4 + 8 + 486 + 7 + 87 + 2 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4848678727187) and next prime (4848678727213).

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 527 ways as a sum of consecutive naturals, for example, 112759970379 + ... + 112759970421.

It is an arithmetic number, because the mean of its divisors is an integer number (7380610944).

Almost surely, 2^{4848678727200} is an apocalyptic number.

4848678727200 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 4848678727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11690887735296).

4848678727200 is an abundant number, since it is smaller than the sum of its proper divisors (18533096743392).

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

4848678727200 is a wasteful number, since it uses less digits than its factorization.

4848678727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 4848678727200 in words is "four trillion, eight hundred forty-eight billion, six hundred seventy-eight million, seven hundred twenty-seven thousand, two hundred".