1053584703360 has 768 divisors, whose sum is σ = 4400113536000. Its totient is φ = 240807168000.

The previous prime is 1053584703359. The next prime is 1053584703371. The reversal of 1053584703360 is 633074853501.

1053584703360 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 584 + 7 + 0 + 3 + 3 + 60 = 666.

It is a super-2 number, since 2×1053584703360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53333485 + ... + 53353235.

It is an arithmetic number, because the mean of its divisors is an integer number (5729314500).

Almost surely, 2^{1053584703360} is an apocalyptic number.

1053584703360 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 1053584703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200056768000).

1053584703360 is an abundant number, since it is smaller than the sum of its proper divisors (3346528832640).

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

1053584703360 is an frugal number, since it uses more digits than its factorization.

1053584703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19806 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1053584703360 in words is "one trillion, fifty-three billion, five hundred eighty-four million, seven hundred three thousand, three hundred sixty".