10606029729000 has 768 divisors, whose sum is σ = 35916764083200. Its totient is φ = 2598343488000.

The previous prime is 10606029728999. The next prime is 10606029729049. The reversal of 10606029729000 is 92792060601.

It is a super-2 number, since 2×10606029729000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16494602679 + ... + 16494603321.

It is an arithmetic number, because the mean of its divisors is an integer number (46766619900).

Almost surely, 2^{10606029729000} is an apocalyptic number.

10606029729000 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 10606029729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958382041600).

10606029729000 is an abundant number, since it is smaller than the sum of its proper divisors (25310734354200).

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

10606029729000 is a wasteful number, since it uses less digits than its factorization.

10606029729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 10606029729000 in words is "ten trillion, six hundred six billion, twenty-nine million, seven hundred twenty-nine thousand".