10061666172 has 144 divisors (see below), whose sum is σ = 27806242464. Its totient is φ = 3055104000.

The previous prime is 10061666171. The next prime is 10061666183. The reversal of 10061666172 is 27166616001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061666171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3285522 + ... + 3288582.

It is an arithmetic number, because the mean of its divisors is an integer number (193098906).

Almost surely, 2^10061666172 is an apocalyptic number.

10061666172 is a gapful number since it is divisible by the number (12) 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 10061666172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903121232).

10061666172 is an abundant number, since it is smaller than the sum of its proper divisors (17744576292).

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

10061666172 is a wasteful number, since it uses less digits than its factorization.

10061666172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10061666172 in words is "ten billion, sixty-one million, six hundred sixty-six thousand, one hundred seventy-two".