19130293616640 has 272 divisors, whose sum is σ = 61277407957248. Its totient is φ = 5096334163968.

The previous prime is 19130293616591. The next prime is 19130293616747. The reversal of 19130293616640 is 4661639203191.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044962367 + ... + 1044980673.

Almost surely, 2^{19130293616640} is an apocalyptic number.

19130293616640 is a gapful number since it is divisible by the number (10) 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 19130293616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30638703978624).

19130293616640 is an abundant number, since it is smaller than the sum of its proper divisors (42147114340608).

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

19130293616640 is an equidigital number, since it uses as much as digits as its factorization.

19130293616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19410 (or 19380 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 19130293616640 in words is "nineteen trillion, one hundred thirty billion, two hundred ninety-three million, six hundred sixteen thousand, six hundred forty".