19272121344 has 440 divisors, whose sum is σ = 69273100160. Its totient is φ = 5213528064.

The previous prime is 19272121333. The next prime is 19272121357. The reversal of 19272121344 is 44312127291.

19272121344 is a `hidden beast` number, since 192 + 7 + 2 + 121 + 344 = 666.

It is a super-2 number, since 2×19272121344² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19272121299 and 19272121308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11030679 + ... + 11032425.

It is an arithmetic number, because the mean of its divisors is an integer number (157438864).

Almost surely, 2^19272121344 is an apocalyptic number.

19272121344 is a gapful number since it is divisible by the number (14) 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 19272121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34636550080).

19272121344 is an abundant number, since it is smaller than the sum of its proper divisors (50000978816).

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

19272121344 is a wasteful number, since it uses less digits than its factorization.

19272121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1778 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 19272121344 in words is "nineteen billion, two hundred seventy-two million, one hundred twenty-one thousand, three hundred forty-four".