10345085085020 has 96 divisors (see below), whose sum is σ = 24860578216320. Its totient is φ = 3542263971840.

The previous prime is 10345085085001. The next prime is 10345085085061. The reversal of 10345085085020 is 2058058054301.

10345085085020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 470712272 + ... + 470734248.

It is an arithmetic number, because the mean of its divisors is an integer number (258964356420).

Almost surely, 2^{10345085085020} is an apocalyptic number.

10345085085020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345085085020 is an abundant number, since it is smaller than the sum of its proper divisors (14515493131300).

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

10345085085020 is a wasteful number, since it uses less digits than its factorization.

10345085085020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26223 (or 26221 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The spelling of 10345085085020 in words is "ten trillion, three hundred forty-five billion, eighty-five million, eighty-five thousand, twenty".