19996771200 has 384 divisors, whose sum is σ = 75582424320. Its totient is φ = 4551966720.

The previous prime is 19996771189. The next prime is 19996771211. The reversal of 19996771200 is 217769991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19996771189) and next prime (19996771211).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22645959 + ... + 22646841.

It is an arithmetic number, because the mean of its divisors is an integer number (196829230).

Almost surely, 2^19996771200 is an apocalyptic number.

19996771200 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 19996771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37791212160).

19996771200 is an abundant number, since it is smaller than the sum of its proper divisors (55585653120).

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

19996771200 is a wasteful number, since it uses less digits than its factorization.

19996771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 51.

The spelling of 19996771200 in words is "nineteen billion, nine hundred ninety-six million, seven hundred seventy-one thousand, two hundred".