1993874227200 has 900 divisors, whose sum is σ = 7777682595760. Its totient is φ = 503556341760.

The previous prime is 1993874227171. The next prime is 1993874227207. The reversal of 1993874227200 is 27224783991.

It is a happy number.

1993874227200 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 8 + 7 + 422 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1993874227207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 630372819 + ... + 630375981.

Almost surely, 2^{1993874227200} is an apocalyptic number.

1993874227200 is a gapful number since it is divisible by the number (10) 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 1993874227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888841297880).

1993874227200 is an abundant number, since it is smaller than the sum of its proper divisors (5783808368560).

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

1993874227200 is an equidigital number, since it uses as much as digits as its factorization.

1993874227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1993874227200 in words is "one trillion, nine hundred ninety-three billion, eight hundred seventy-four million, two hundred twenty-seven thousand, two hundred".