10802608500580 has 72 divisors (see below), whose sum is σ = 25538893668792. Its totient is φ = 3815235595776.

The previous prime is 10802608500539. The next prime is 10802608500583. The reversal of 10802608500580 is 8500580620801.

It can be written as a sum of positive squares in 4 ways, for example, as 945281729536 + 9857326771044 = 972256^2 + 3139638^2 .

It is not an unprimeable number, because it can be changed into a prime (10802608500583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39133249 + ... + 39408328.

It is an arithmetic number, because the mean of its divisors is an integer number (354706856511).

Almost surely, 2^{10802608500580} is an apocalyptic number.

10802608500580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10802608500580 is an abundant number, since it is smaller than the sum of its proper divisors (14736285168212).

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

10802608500580 is a wasteful number, since it uses less digits than its factorization.

10802608500580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78541645 (or 78541620 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The spelling of 10802608500580 in words is "ten trillion, eight hundred two billion, six hundred eight million, five hundred thousand, five hundred eighty".