4873895347200 has 528 divisors, whose sum is σ = 18178937991360. Its totient is φ = 1140801536000.

The previous prime is 4873895347159. The next prime is 4873895347207. The reversal of 4873895347200 is 27435983784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4873895347207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24399730 + ... + 24598670.

Almost surely, 2^{4873895347200} is an apocalyptic number.

4873895347200 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 4873895347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089468995680).

4873895347200 is an abundant number, since it is smaller than the sum of its proper divisors (13305042644160).

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

4873895347200 is a wasteful number, since it uses less digits than its factorization.

4873895347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199014 (or 198991 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 4873895347200 in words is "four trillion, eight hundred seventy-three billion, eight hundred ninety-five million, three hundred forty-seven thousand, two hundred".