19822687272960 has 1440 divisors, whose sum is σ = 76752313537536. Its totient is φ = 4337487052800.

The previous prime is 19822687272959. The next prime is 19822687272967. The reversal of 19822687272960 is 6927278622891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19822687272967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18169282015 + ... + 18169283105.

Almost surely, 2^{19822687272960} is an apocalyptic number.

19822687272960 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 19822687272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38376156768768).

19822687272960 is an abundant number, since it is smaller than the sum of its proper divisors (56929626264576).

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

19822687272960 is a wasteful number, since it uses less digits than its factorization.

19822687272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 19822687272960 in words is "nineteen trillion, eight hundred twenty-two billion, six hundred eighty-seven million, two hundred seventy-two thousand, nine hundred sixty".