10273169088 has 1008 divisors, whose sum is σ = 41169177504. Its totient is φ = 2508226560.

The previous prime is 10273169077. The next prime is 10273169111. The reversal of 10273169088 is 88096137201.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10273169088² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168412578 + ... + 168412638.

It is an arithmetic number, because the mean of its divisors is an integer number (40842438).

Almost surely, 2^10273169088 is an apocalyptic number.

10273169088 is a gapful number since it is divisible by the number (18) 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 10273169088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20584588752).

10273169088 is an abundant number, since it is smaller than the sum of its proper divisors (30896008416).

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

10273169088 is a wasteful number, since it uses less digits than its factorization.

10273169088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10273169088 in words is "ten billion, two hundred seventy-three million, one hundred sixty-nine thousand, eighty-eight".