1973200009200 has 480 divisors, whose sum is σ = 7500091011072. Its totient is φ = 433935360000.

The previous prime is 1973200009163. The next prime is 1973200009211. The reversal of 1973200009200 is 29000023791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45027300 + ... + 45071100.

Almost surely, 2^{1973200009200} is an apocalyptic number.

1973200009200 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 1973200009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750045505536).

1973200009200 is an abundant number, since it is smaller than the sum of its proper divisors (5526891001872).

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

1973200009200 is a wasteful number, since it uses less digits than its factorization.

1973200009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44033 (or 44022 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 1973200009200 in words is "one trillion, nine hundred seventy-three billion, two hundred million, nine thousand, two hundred".