19068064649088 has 2560 divisors, whose sum is σ = 71984104550400. Its totient is φ = 4424511651840.

The previous prime is 19068064649063. The next prime is 19068064649141. The reversal of 19068064649088 is 88094646086091.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 261206365020 + ... + 261206365092.

It is an arithmetic number, because the mean of its divisors is an integer number (28118790840).

Almost surely, 2^{19068064649088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19068064649088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35992052275200).

19068064649088 is an abundant number, since it is smaller than the sum of its proper divisors (52916039901312).

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

19068064649088 is a wasteful number, since it uses less digits than its factorization.

19068064649088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 69.

The spelling of 19068064649088 in words is "nineteen trillion, sixty-eight billion, sixty-four million, six hundred forty-nine thousand, eighty-eight".