10053302261160 has 512 divisors, whose sum is σ = 32550174720000. Its totient is φ = 2476468380672.

The previous prime is 10053302261143. The next prime is 10053302261183. The reversal of 10053302261160 is 6116220335001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6779029779 + ... + 6779031261.

It is an arithmetic number, because the mean of its divisors is an integer number (63574560000).

Almost surely, 2^{10053302261160} is an apocalyptic number.

10053302261160 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 10053302261160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275087360000).

10053302261160 is an abundant number, since it is smaller than the sum of its proper divisors (22496872458840).

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

10053302261160 is a wasteful number, since it uses less digits than its factorization.

10053302261160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 10053302261160 its reverse (6116220335001), we get a palindrome (16169522596161).

The spelling of 10053302261160 in words is "ten trillion, fifty-three billion, three hundred two million, two hundred sixty-one thousand, one hundred sixty".