82610802578304 has 3072 divisors, whose sum is σ = 340792268544000. Its totient is φ = 19629381058560.

The previous prime is 82610802578231. The next prime is 82610802578309. The reversal of 82610802578304 is 40387520801628.

82610802578304 is a `hidden beast` number, since 8 + 2 + 6 + 1 + 0 + 80 + 257 + 8 + 304 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82610802578309) 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 383 ways as a sum of consecutive naturals, for example, 263932276452 + ... + 263932276764.

It is an arithmetic number, because the mean of its divisors is an integer number (110934983250).

Almost surely, 2^{82610802578304} is an apocalyptic number.

82610802578304 is a gapful number since it is divisible by the number (84) 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 82610802578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170396134272000).

82610802578304 is an abundant number, since it is smaller than the sum of its proper divisors (258181465965696).

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

82610802578304 is a wasteful number, since it uses less digits than its factorization.

82610802578304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 82610802578304 in words is "eighty-two trillion, six hundred ten billion, eight hundred two million, five hundred seventy-eight thousand, three hundred four".