1056333643200 has 1008 divisors, whose sum is σ = 4217209581312. Its totient is φ = 248555520000.

The previous prime is 1056333643187. The next prime is 1056333643249. The reversal of 1056333643200 is 23463336501.

1056333643200 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 3 + 3 + 3 + 643 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×1056333643200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2019758139 + ... + 2019758661.

It is an arithmetic number, because the mean of its divisors is an integer number (4183739664).

Almost surely, 2^{1056333643200} is an apocalyptic number.

1056333643200 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 1056333643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108604790656).

1056333643200 is an abundant number, since it is smaller than the sum of its proper divisors (3160875938112).

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

1056333643200 is a wasteful number, since it uses less digits than its factorization.

1056333643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 1056333643200 its reverse (23463336501), we get a palindrome (1079796979701).

The spelling of 1056333643200 in words is "one trillion, fifty-six billion, three hundred thirty-three million, six hundred forty-three thousand, two hundred".