10820872842180 has 96 divisors (see below), whose sum is σ = 30421507374720. Its totient is φ = 2873847552000.

The previous prime is 10820872842167. The next prime is 10820872842193. The reversal of 10820872842180 is 8124827802801.

10820872842180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10820872842167) and next prime (10820872842193).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308366076 + ... + 308401164.

It is an arithmetic number, because the mean of its divisors is an integer number (316890701820).

Almost surely, 2^{10820872842180} is an apocalyptic number.

10820872842180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820872842180 is an abundant number, since it is smaller than the sum of its proper divisors (19600634532540).

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

10820872842180 is a wasteful number, since it uses less digits than its factorization.

10820872842180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55829 (or 55827 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

The spelling of 10820872842180 in words is "ten trillion, eight hundred twenty billion, eight hundred seventy-two million, eight hundred forty-two thousand, one hundred eighty".