19103827968 has 288 divisors, whose sum is σ = 59742446400. Its totient is φ = 6087426048.

The previous prime is 19103827961. The next prime is 19103827969. The reversal of 19103827968 is 86972830191.

19103827968 is a `hidden beast` number, since 191 + 0 + 382 + 79 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19103827961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11445438 + ... + 11447106.

It is an arithmetic number, because the mean of its divisors is an integer number (207439050).

Almost surely, 2^19103827968 is an apocalyptic number.

19103827968 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 19103827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29871223200).

19103827968 is an abundant number, since it is smaller than the sum of its proper divisors (40638618432).

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

19103827968 is an equidigital number, since it uses as much as digits as its factorization.

19103827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 19103827968 in words is "nineteen billion, one hundred three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".