1053360000 has 960 divisors, whose sum is σ = 4970908800. Its totient is φ = 207360000.

The previous prime is 1053359969. The next prime is 1053360013. The reversal of 1053360000 is 633501.

1053360000 is a `hidden beast` number, since 10 + 53 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1053360000² = 2219134579200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55439991 + ... + 55440009.

It is an arithmetic number, because the mean of its divisors is an integer number (5178030).

Almost surely, 2^1053360000 is an apocalyptic number.

1053360000 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 1053360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485454400).

1053360000 is an abundant number, since it is smaller than the sum of its proper divisors (3917548800).

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

1053360000 is a wasteful number, since it uses less digits than its factorization.

1053360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1053360000 is about 32455.5080071165. The cubic root of 1053360000 is about 1017.4793585471.

Adding to 1053360000 its reverse (633501), we get a palindrome (1053993501).

The spelling of 1053360000 in words is "one billion, fifty-three million, three hundred sixty thousand".