1053224233200 has 180 divisors, whose sum is σ = 3667899325480. Its totient is φ = 279867087360.

The previous prime is 1053224233183. The next prime is 1053224233213. The reversal of 1053224233200 is 23324223501.

1053224233200 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 224 + 233 + 200 = 666.

1053224233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1053224233200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 501906 + ... + 1535694.

Almost surely, 2^{1053224233200} is an apocalyptic number.

1053224233200 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 1053224233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833949662740).

1053224233200 is an abundant number, since it is smaller than the sum of its proper divisors (2614675092280).

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

1053224233200 is a wasteful number, since it uses less digits than its factorization.

1053224233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034096 (or 1034082 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 1053224233200 its reverse (23324223501), we get a palindrome (1076548456701).

The spelling of 1053224233200 in words is "one trillion, fifty-three billion, two hundred twenty-four million, two hundred thirty-three thousand, two hundred".