19057068072 has 256 divisors, whose sum is σ = 61767475200. Its totient is φ = 5331536640.

The previous prime is 19057068053. The next prime is 19057068097. The reversal of 19057068072 is 27086075091.

19057068072 is a `hidden beast` number, since 1 + 9 + 0 + 570 + 6 + 8 + 0 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33848863 + ... + 33849425.

It is an arithmetic number, because the mean of its divisors is an integer number (241279200).

Almost surely, 2^19057068072 is an apocalyptic number.

19057068072 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 19057068072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30883737600).

19057068072 is an abundant number, since it is smaller than the sum of its proper divisors (42710407128).

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

19057068072 is a wasteful number, since it uses less digits than its factorization.

19057068072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 19057068072 in words is "nineteen billion, fifty-seven million, sixty-eight thousand, seventy-two".