1053433141800 has 288 divisors, whose sum is σ = 3744185446080. Its totient is φ = 244052889600.

The previous prime is 1053433141777. The next prime is 1053433141801. The reversal of 1053433141800 is 81413343501.

It is a super-2 number, since 2×1053433141800² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1053433141801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1418245 + ... + 2029355.

It is an arithmetic number, because the mean of its divisors is an integer number (13000643910).

Almost surely, 2^{1053433141800} is an apocalyptic number.

1053433141800 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 1053433141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872092723040).

1053433141800 is an abundant number, since it is smaller than the sum of its proper divisors (2690752304280).

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

1053433141800 is a wasteful number, since it uses less digits than its factorization.

1053433141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611173 (or 611151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1053433141800 in words is "one trillion, fifty-three billion, four hundred thirty-three million, one hundred forty-one thousand, eight hundred".