10166121504 has 288 divisors, whose sum is σ = 36159177600. Its totient is φ = 2632089600.

The previous prime is 10166121481. The next prime is 10166121521. The reversal of 10166121504 is 40512166101.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9956514 + ... + 9957534.

It is an arithmetic number, because the mean of its divisors is an integer number (125552700).

Almost surely, 2^10166121504 is an apocalyptic number.

10166121504 is a gapful number since it is divisible by the number (14) 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 10166121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079588800).

10166121504 is an abundant number, since it is smaller than the sum of its proper divisors (25993056096).

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

10166121504 is a wasteful number, since it uses less digits than its factorization.

10166121504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10166121504 its reverse (40512166101), we get a palindrome (50678287605).

The spelling of 10166121504 in words is "ten billion, one hundred sixty-six million, one hundred twenty-one thousand, five hundred four".