819768053808 has 480 divisors, whose sum is σ = 2854483587072. Its totient is φ = 216417484800.

The previous prime is 819768053803. The next prime is 819768053813. The reversal of 819768053808 is 808350867918.

819768053808 is a `hidden beast` number, since 8 + 1 + 97 + 6 + 8 + 0 + 538 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (819768053803) and next prime (819768053813).

It is not an unprimeable number, because it can be changed into a prime (819768053803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19178316 + ... + 19221012.

Almost surely, 2^819768053808 is an apocalyptic number.

819768053808 is a gapful number since it is divisible by the number (88) 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 819768053808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427241793536).

819768053808 is an abundant number, since it is smaller than the sum of its proper divisors (2034715533264).

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

819768053808 is a wasteful number, since it uses less digits than its factorization.

819768053808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42793 (or 42784 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 819768053808 in words is "eight hundred nineteen billion, seven hundred sixty-eight million, fifty-three thousand, eight hundred eight".