1983396229200 has 360 divisors, whose sum is σ = 7174910998528. Its totient is φ = 526160240640.

The previous prime is 1983396229193. The next prime is 1983396229247. The reversal of 1983396229200 is 29226933891.

1983396229200 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 3 + 9 + 622 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×1983396229200³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18706737 + ... + 18812463.

Almost surely, 2^{1983396229200} is an apocalyptic number.

1983396229200 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 1983396229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587455499264).

1983396229200 is an abundant number, since it is smaller than the sum of its proper divisors (5191514769328).

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

1983396229200 is a wasteful number, since it uses less digits than its factorization.

1983396229200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105953 (or 105930 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1983396229200 in words is "one trillion, nine hundred eighty-three billion, three hundred ninety-six million, two hundred twenty-nine thousand, two hundred".