396096188285952 has 1760 divisors, whose sum is σ = 1528165223608320. Its totient is φ = 99212065505280.

The previous prime is 396096188285929. The next prime is 396096188285953. The reversal of 396096188285952 is 259582881690693.

396096188285952 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 9 + 6 + 18 + 8 + 2 + 8 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (396096188285953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21695570008 + ... + 21695588264.

It is an arithmetic number, because the mean of its divisors is an integer number (868275695232).

Almost surely, 2^{396096188285952} is an apocalyptic number.

396096188285952 is a gapful number since it is divisible by the number (32) 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 396096188285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764082611804160).

396096188285952 is an abundant number, since it is smaller than the sum of its proper divisors (1132069035322368).

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

396096188285952 is a wasteful number, since it uses less digits than its factorization.

396096188285952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18429 (or 18402 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 396096188285952 in words is "three hundred ninety-six trillion, ninety-six billion, one hundred eighty-eight million, two hundred eighty-five thousand, nine hundred fifty-two".