82619473305600 has 3360 divisors, whose sum is σ = 387381666557952. Its totient is φ = 16907304960000.

The previous prime is 82619473305599. The next prime is 82619473305637. The reversal of 82619473305600 is 650337491628.

82619473305600 is a `hidden beast` number, since 8 + 2 + 6 + 1 + 9 + 4 + 73 + 3 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90690969145 + ... + 90690970055.

It is a 1-persistent number, because it is pandigital, but 2⋅82619473305600 = 165238946611200 is not.

Almost surely, 2^{82619473305600} is an apocalyptic number.

82619473305600 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 82619473305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193690833278976).

82619473305600 is an abundant number, since it is smaller than the sum of its proper divisors (304762193252352).

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

82619473305600 is a wasteful number, since it uses less digits than its factorization.

82619473305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 82619473305600 in words is "eighty-two trillion, six hundred nineteen billion, four hundred seventy-three million, three hundred five thousand, six hundred".