19340085072 has 640 divisors, whose sum is σ = 69115576320. Its totient is φ = 4511232000.

The previous prime is 19340085019. The next prime is 19340085073. The reversal of 19340085072 is 27058004391.

It is a super-4 number, since 4×19340085072⁴ (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19340085072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19340085073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108045079 + ... + 108045257.

It is an arithmetic number, because the mean of its divisors is an integer number (107993088).

Almost surely, 2^19340085072 is an apocalyptic number.

19340085072 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 19340085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34557788160).

19340085072 is an abundant number, since it is smaller than the sum of its proper divisors (49775491248).

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

19340085072 is a wasteful number, since it uses less digits than its factorization.

19340085072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 19340085072 in words is "nineteen billion, three hundred forty million, eighty-five thousand, seventy-two".