4895363887200 has 1008 divisors, whose sum is σ = 19436360587056. Its totient is φ = 1198573977600.

The previous prime is 4895363887189. The next prime is 4895363887261. The reversal of 4895363887200 is 27883635984.

4895363887200 is a `hidden beast` number, since 48 + 9 + 5 + 3 + 6 + 388 + 7 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 406484379 + ... + 406496421.

It is an arithmetic number, because the mean of its divisors is an integer number (19282103757).

Almost surely, 2^{4895363887200} is an apocalyptic number.

4895363887200 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 4895363887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718180293528).

4895363887200 is an abundant number, since it is smaller than the sum of its proper divisors (14540996699856).

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

4895363887200 is a wasteful number, since it uses less digits than its factorization.

4895363887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12139 (or 12111 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 4895363887200 in words is "four trillion, eight hundred ninety-five billion, three hundred sixty-three million, eight hundred eighty-seven thousand, two hundred".