82604948580 has 576 divisors, whose sum is σ = 328635740160. Its totient is φ = 16917465600.

The previous prime is 82604948579. The next prime is 82604948593. The reversal of 82604948580 is 8584940628.

82604948580 is a `hidden beast` number, since 82 + 6 + 0 + 4 + 9 + 485 + 80 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26568066 + ... + 26571174.

It is an arithmetic number, because the mean of its divisors is an integer number (570548160).

Almost surely, 2^82604948580 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 82604948580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164317870080).

82604948580 is an abundant number, since it is smaller than the sum of its proper divisors (246030791580).

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

82604948580 is a wasteful number, since it uses less digits than its factorization.

82604948580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 82604948580 in words is "eighty-two billion, six hundred four million, nine hundred forty-eight thousand, five hundred eighty".