1064026854800 has 480 divisors, whose sum is σ = 3264220243200. Its totient is φ = 324188282880.

The previous prime is 1064026854769. The next prime is 1064026854817. The reversal of 1064026854800 is 84586204601.

It is a happy number.

It is a super-2 number, since 2×1064026854800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419071931 + ... + 419074469.

It is an arithmetic number, because the mean of its divisors is an integer number (6800458840).

Almost surely, 2^{1064026854800} is an apocalyptic number.

1064026854800 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 1064026854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632110121600).

1064026854800 is an abundant number, since it is smaller than the sum of its proper divisors (2200193388400).

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

1064026854800 is a wasteful number, since it uses less digits than its factorization.

1064026854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 1064026854800 in words is "one trillion, sixty-four billion, twenty-six million, eight hundred fifty-four thousand, eight hundred".