10600291672128 has 224 divisors, whose sum is σ = 31216695910400. Its totient is φ = 3527336927232.

The previous prime is 10600291672111. The next prime is 10600291672151. The reversal of 10600291672128 is 82127619200601.

10600291672128 is a `hidden beast` number, since 1 + 0 + 600 + 2 + 9 + 16 + 7 + 2 + 1 + 28 = 666.

It is a super-2 number, since 2×10600291672128² (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 31 ways as a sum of consecutive naturals, for example, 3741718200 + ... + 3741721032.

It is an arithmetic number, because the mean of its divisors is an integer number (139360249600).

Almost surely, 2^{10600291672128} is an apocalyptic number.

10600291672128 is a gapful number since it is divisible by the number (18) 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 10600291672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608347955200).

10600291672128 is an abundant number, since it is smaller than the sum of its proper divisors (20616404238272).

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

10600291672128 is a wasteful number, since it uses less digits than its factorization.

10600291672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10600291672128 in words is "ten trillion, six hundred billion, two hundred ninety-one million, six hundred seventy-two thousand, one hundred twenty-eight".