819359955540 has 384 divisors, whose sum is σ = 2972155038720. Its totient is φ = 183530520576.

The previous prime is 819359955527. The next prime is 819359955727. The reversal of 819359955540 is 45559953918.

819359955540 is a `hidden beast` number, since 8 + 1 + 9 + 35 + 9 + 9 + 55 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43313124 + ... + 43332036.

It is an arithmetic number, because the mean of its divisors is an integer number (7739987080).

Almost surely, 2^819359955540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819359955540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486077519360).

819359955540 is an abundant number, since it is smaller than the sum of its proper divisors (2152795083180).

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

819359955540 is a wasteful number, since it uses less digits than its factorization.

819359955540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19168 (or 19160 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 63.

The spelling of 819359955540 in words is "eight hundred nineteen billion, three hundred fifty-nine million, nine hundred fifty-five thousand, five hundred forty".