1054809664800 has 144 divisors (see below), whose sum is σ = 3436680475872. Its totient is φ = 281014272000.

The previous prime is 1054809664771. The next prime is 1054809664801. The reversal of 1054809664800 is 84669084501.

1054809664800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054809664800² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054809664801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313312 + ... + 2731488.

It is an arithmetic number, because the mean of its divisors is an integer number (23865836638).

Almost surely, 2^{1054809664800} is an apocalyptic number.

1054809664800 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 1054809664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718340237936).

1054809664800 is an abundant number, since it is smaller than the sum of its proper divisors (2381870811072).

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

1054809664800 is a wasteful number, since it uses less digits than its factorization.

1054809664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419251 (or 419238 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 1054809664800 in words is "one trillion, fifty-four billion, eight hundred nine million, six hundred sixty-four thousand, eight hundred".