4893969211200 has 252 divisors, whose sum is σ = 17405821188288. Its totient is φ = 1304195712000.

The previous prime is 4893969211193. The next prime is 4893969211211. The reversal of 4893969211200 is 21129693984.

4893969211200 is a `hidden beast` number, since 48 + 9 + 396 + 9 + 2 + 1 + 1 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21819625 + ... + 22042775.

Almost surely, 2^{4893969211200} is an apocalyptic number.

4893969211200 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 4893969211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702910594144).

4893969211200 is an abundant number, since it is smaller than the sum of its proper divisors (12511851977088).

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

4893969211200 is a wasteful number, since it uses less digits than its factorization.

4893969211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224702 (or 224684 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 4893969211200 in words is "four trillion, eight hundred ninety-three billion, nine hundred sixty-nine million, two hundred eleven thousand, two hundred".