19925782272 has 432 divisors, whose sum is σ = 66836445312. Its totient is φ = 5867458560.

The previous prime is 19925782271. The next prime is 19925782343. The reversal of 19925782272 is 27228752991.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×19925782272² (a number of 21 digits) contains 22 as substring.

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

Its product of digits (2540160) is a multiple of the sum of its prime divisors (840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19925782271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25318263 + ... + 25319049.

Almost surely, 2^19925782272 is an apocalyptic number.

19925782272 is a gapful number since it is divisible by the number (12) 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 19925782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33418222656).

19925782272 is an abundant number, since it is smaller than the sum of its proper divisors (46910663040).

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

19925782272 is an equidigital number, since it uses as much as digits as its factorization.

19925782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 840 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 19925782272 in words is "nineteen billion, nine hundred twenty-five million, seven hundred eighty-two thousand, two hundred seventy-two".