1052160092160 has 192 divisors, whose sum is σ = 3367450195200. Its totient is φ = 280462688256.

The previous prime is 1052160092099. The next prime is 1052160092167. The reversal of 1052160092160 is 612900612501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1052160092160² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052160092167) 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 15 ways as a sum of consecutive naturals, for example, 99189577 + ... + 99200183.

It is an arithmetic number, because the mean of its divisors is an integer number (17538803100).

Almost surely, 2^{1052160092160} is an apocalyptic number.

1052160092160 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 1052160092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683725097600).

1052160092160 is an abundant number, since it is smaller than the sum of its proper divisors (2315290103040).

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

1052160092160 is a wasteful number, since it uses less digits than its factorization.

1052160092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 1052160092160 in words is "one trillion, fifty-two billion, one hundred sixty million, ninety-two thousand, one hundred sixty".