819536368250880 has 1872 divisors, whose sum is σ = 3403141748401824. Its totient is φ = 181787342929920.

The previous prime is 819536368250863. The next prime is 819536368250959. The reversal of 819536368250880 is 88052863635918.

819536368250880 is a `hidden beast` number, since 8 + 1 + 9 + 5 + 3 + 6 + 36 + 8 + 2 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 819536368250799 and 819536368250808.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60972864960 + ... + 60972878400.

It is an arithmetic number, because the mean of its divisors is an integer number (1817917600642).

Almost surely, 2^{819536368250880} is an apocalyptic number.

819536368250880 is a gapful number since it is divisible by the number (80) 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 819536368250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701570874200912).

819536368250880 is an abundant number, since it is smaller than the sum of its proper divisors (2583605380150944).

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

819536368250880 is a wasteful number, since it uses less digits than its factorization.

819536368250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13690 (or 13658 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 819536368250880 in words is "eight hundred nineteen trillion, five hundred thirty-six billion, three hundred sixty-eight million, two hundred fifty thousand, eight hundred eighty".