1064581996800 has 1728 divisors, whose sum is σ = 4472788723200. Its totient is φ = 221962567680.

The previous prime is 1064581996799. The next prime is 1064581996831. The reversal of 1064581996800 is 86991854601.

It is a super-2 number, since 2×1064581996800² (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 191 ways as a sum of consecutive naturals, for example, 4142342272 + ... + 4142342528.

It is an arithmetic number, because the mean of its divisors is an integer number (2588419400).

Almost surely, 2^{1064581996800} is an apocalyptic number.

1064581996800 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 1064581996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236394361600).

1064581996800 is an abundant number, since it is smaller than the sum of its proper divisors (3408206726400).

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

1064581996800 is a wasteful number, since it uses less digits than its factorization.

1064581996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 1064581996800 in words is "one trillion, sixty-four billion, five hundred eighty-one million, nine hundred ninety-six thousand, eight hundred".