1053020142080 has 320 divisors, whose sum is σ = 2721005844480. Its totient is φ = 390035865600.

The previous prime is 1053020142077. The next prime is 1053020142137. The reversal of 1053020142080 is 802410203501.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1053020142080² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 179112581 + ... + 179118459.

It is an arithmetic number, because the mean of its divisors is an integer number (8503143264).

Almost surely, 2^{1053020142080} is an apocalyptic number.

1053020142080 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 1053020142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360502922240).

1053020142080 is an abundant number, since it is smaller than the sum of its proper divisors (1667985702400).

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

1053020142080 is an equidigital number, since it uses as much as digits as its factorization.

1053020142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1053020142080 its reverse (802410203501), we get a palindrome (1855430345581).

The spelling of 1053020142080 in words is "one trillion, fifty-three billion, twenty million, one hundred forty-two thousand, eighty".