19130005372968 has 384 divisors, whose sum is σ = 62947194336000. Its totient is φ = 5123537805312.

The previous prime is 19130005372949. The next prime is 19130005373033. The reversal of 19130005372968 is 86927350003191.

19130005372968 is a `hidden beast` number, since 1 + 9 + 13 + 0 + 0 + 0 + 537 + 2 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4207168471 + ... + 4207173017.

It is an arithmetic number, because the mean of its divisors is an integer number (163924985250).

Almost surely, 2^{19130005372968} is an apocalyptic number.

19130005372968 is a gapful number since it is divisible by the number (18) 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 19130005372968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31473597168000).

19130005372968 is an abundant number, since it is smaller than the sum of its proper divisors (43817188963032).

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

19130005372968 is a wasteful number, since it uses less digits than its factorization.

19130005372968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 19130005372968 in words is "nineteen trillion, one hundred thirty billion, five million, three hundred seventy-two thousand, nine hundred sixty-eight".