1068854905600 has 108 divisors (see below), whose sum is σ = 2646004223016. Its totient is φ = 427473879040.

The previous prime is 1068854905597. The next prime is 1068854905627. The reversal of 1068854905600 is 65094588601.

1068854905600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1068854905600² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65034984 + ... + 65051416.

It is an arithmetic number, because the mean of its divisors is an integer number (24500039102).

Almost surely, 2^{1068854905600} is an apocalyptic number.

1068854905600 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 1068854905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323002111508).

1068854905600 is an abundant number, since it is smaller than the sum of its proper divisors (1577149317416).

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

1068854905600 is a wasteful number, since it uses less digits than its factorization.

1068854905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26622 (or 26603 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 1068854905600 in words is "one trillion, sixty-eight billion, eight hundred fifty-four million, nine hundred five thousand, six hundred".