82606288880 has 40 divisors (see below), whose sum is σ = 198682372800. Its totient is φ = 31903117568.

The previous prime is 82606288867. The next prime is 82606288889. The reversal of 82606288880 is 8888260628.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82606288889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17800760 + ... + 17805399.

It is an arithmetic number, because the mean of its divisors is an integer number (4967059320).

Almost surely, 2^82606288880 is an apocalyptic number.

82606288880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82606288880 is an abundant number, since it is smaller than the sum of its proper divisors (116076083920).

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

82606288880 is a wasteful number, since it uses less digits than its factorization.

82606288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35606201 (or 35606195 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 56.

The spelling of 82606288880 in words is "eighty-two billion, six hundred six million, two hundred eighty-eight thousand, eight hundred eighty".