10182116280 has 128 divisors (see below), whose sum is σ = 35002368000. Its totient is φ = 2321190912.

The previous prime is 10182116251. The next prime is 10182116297. The reversal of 10182116280 is 8261128101.

It is a happy number.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 305896 + ... + 337544.

It is an arithmetic number, because the mean of its divisors is an integer number (273456000).

Almost surely, 2^10182116280 is an apocalyptic number.

10182116280 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 10182116280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501184000).

10182116280 is an abundant number, since it is smaller than the sum of its proper divisors (24820251720).

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

10182116280 is a wasteful number, since it uses less digits than its factorization.

10182116280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32053 (or 32049 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The spelling of 10182116280 in words is "ten billion, one hundred eighty-two million, one hundred sixteen thousand, two hundred eighty".