19921272000 has 672 divisors, whose sum is σ = 80148257280. Its totient is φ = 4259174400.

The previous prime is 19921271999. The next prime is 19921272023. The reversal of 19921272000 is 27212991.

It is a tau number, because it is divible by the number of its divisors (672).

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, 252167961 + ... + 252168039.

It is an arithmetic number, because the mean of its divisors is an integer number (119268240).

Almost surely, 2^19921272000 is an apocalyptic number.

19921272000 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 19921272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40074128640).

19921272000 is an abundant number, since it is smaller than the sum of its proper divisors (60226985280).

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

19921272000 is an equidigital number, since it uses as much as digits as its factorization.

19921272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

Adding to 19921272000 its reverse (27212991), we get a palindrome (19948484991).

The spelling of 19921272000 in words is "nineteen billion, nine hundred twenty-one million, two hundred seventy-two thousand".