819955124352 has 576 divisors, whose sum is σ = 3028070387160. Its totient is φ = 210969722880.

The previous prime is 819955124327. The next prime is 819955124419. The reversal of 819955124352 is 253421559918.

819955124352 is a `hidden beast` number, since 8 + 1 + 9 + 95 + 512 + 4 + 35 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 347128358976 + 472826765376 = 589176^2 + 687624^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×819955124352² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30073158 + ... + 30100410.

Almost surely, 2^819955124352 is an apocalyptic number.

819955124352 is a gapful number since it is divisible by the number (82) 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 819955124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514035193580).

819955124352 is an abundant number, since it is smaller than the sum of its proper divisors (2208115262808).

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

819955124352 is a wasteful number, since it uses less digits than its factorization.

819955124352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27341 (or 27319 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 819955124352 in words is "eight hundred nineteen billion, nine hundred fifty-five million, one hundred twenty-four thousand, three hundred fifty-two".