82394728966800 has 480 divisors, whose sum is σ = 309764492533760. Its totient is φ = 20768660236800.

The previous prime is 82394728966633. The next prime is 82394728966807. The reversal of 82394728966800 is 866982749328.

82394728966800 is a `hidden beast` number, since 8 + 2 + 3 + 9 + 472 + 8 + 96 + 68 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (82394728966807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11534757 + ... + 17258043.

Almost surely, 2^{82394728966800} is an apocalyptic number.

82394728966800 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 82394728966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154882246266880).

82394728966800 is an abundant number, since it is smaller than the sum of its proper divisors (227369763566960).

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

82394728966800 is a wasteful number, since it uses less digits than its factorization.

82394728966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723388 (or 5723371 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 82394728966800 in words is "eighty-two trillion, three hundred ninety-four billion, seven hundred twenty-eight million, nine hundred sixty-six thousand, eight hundred".