10166609376 has 720 divisors, whose sum is σ = 40044533760. Its totient is φ = 2495162880.

The previous prime is 10166609363. The next prime is 10166609377. The reversal of 10166609376 is 67390666101.

It is a super-2 number, since 2×10166609376² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166609377) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26544481 + ... + 26544863.

It is an arithmetic number, because the mean of its divisors is an integer number (55617408).

Almost surely, 2^10166609376 is an apocalyptic number.

10166609376 is a gapful number since it is divisible by the number (16) 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 10166609376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20022266880).

10166609376 is an abundant number, since it is smaller than the sum of its proper divisors (29877924384).

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

10166609376 is a wasteful number, since it uses less digits than its factorization.

10166609376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 10166609376 in words is "ten billion, one hundred sixty-six million, six hundred nine thousand, three hundred seventy-six".