10082700866880 has 672 divisors, whose sum is σ = 38089008082944. Its totient is φ = 2533403879424.

The previous prime is 10082700866809. The next prime is 10082700866923. The reversal of 10082700866880 is 8866800728001.

10082700866880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119786089 + ... + 119870231.

It is an arithmetic number, because the mean of its divisors is an integer number (56680071552).

Almost surely, 2^{10082700866880} is an apocalyptic number.

10082700866880 is a gapful number since it is divisible by the number (10) 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 10082700866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19044504041472).

10082700866880 is an abundant number, since it is smaller than the sum of its proper divisors (28006307216064).

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

10082700866880 is an equidigital number, since it uses as much as digits as its factorization.

10082700866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84265 (or 84243 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 10082700866880 in words is "ten trillion, eighty-two billion, seven hundred million, eight hundred sixty-six thousand, eight hundred eighty".