1053582102720 has 448 divisors, whose sum is σ = 4250868572160. Its totient is φ = 240643436544.

The previous prime is 1053582102679. The next prime is 1053582102721. The reversal of 1053582102720 is 272012853501.

1053582102720 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 582 + 1 + 0 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1053582102720² (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 not an unprimeable number, because it can be changed into a prime (1053582102721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 94766602 + ... + 94777718.

It is an arithmetic number, because the mean of its divisors is an integer number (9488545920).

Almost surely, 2^{1053582102720} is an apocalyptic number.

1053582102720 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 1053582102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125434286080).

1053582102720 is an abundant number, since it is smaller than the sum of its proper divisors (3197286469440).

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

1053582102720 is a wasteful number, since it uses less digits than its factorization.

1053582102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12717 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1053582102720 in words is "one trillion, fifty-three billion, five hundred eighty-two million, one hundred two thousand, seven hundred twenty".