10485889026912 has 96 divisors (see below), whose sum is σ = 32936446337760. Its totient is φ = 3226427389440.

The previous prime is 10485889026829. The next prime is 10485889026913. The reversal of 10485889026912 is 21962098858401.

10485889026912 is a `hidden beast` number, since 1 + 0 + 48 + 588 + 9 + 0 + 2 + 6 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10485889026912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485889026913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466775139 + ... + 466797602.

It is an arithmetic number, because the mean of its divisors is an integer number (343087982685).

Almost surely, 2^{10485889026912} is an apocalyptic number.

10485889026912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10485889026912 is an abundant number, since it is smaller than the sum of its proper divisors (22450557310848).

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

10485889026912 is a wasteful number, since it uses less digits than its factorization.

10485889026912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933572773 (or 933572759 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 10485889026912 in words is "ten trillion, four hundred eighty-five billion, eight hundred eighty-nine million, twenty-six thousand, nine hundred twelve".