1019115679968 has 48 divisors (see below), whose sum is σ = 2972420735760. Its totient is φ = 339705226368.

The previous prime is 1019115679961. The next prime is 1019115679969. The reversal of 1019115679968 is 8699765119101.

1019115679968 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 1 + 1 + 567 + 9 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019115679961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589765155 + ... + 589766882.

It is an arithmetic number, because the mean of its divisors is an integer number (61925431995).

Almost surely, 2^{1019115679968} is an apocalyptic number.

1019115679968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1019115679968 is an abundant number, since it is smaller than the sum of its proper divisors (1953305055792).

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

1019115679968 is a wasteful number, since it uses less digits than its factorization.

1019115679968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179532056 (or 1179532042 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 63.

The spelling of 1019115679968 in words is "one trillion, nineteen billion, one hundred fifteen million, six hundred seventy-nine thousand, nine hundred sixty-eight".