10506128136192 has 960 divisors, whose sum is σ = 35745278849280. Its totient is φ = 3051277516800.

The previous prime is 10506128136173. The next prime is 10506128136197. The reversal of 10506128136192 is 29163182160501.

It is a happy number.

10506128136192 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 1 + 28 + 1 + 3 + 619 + 2 = 666.

It is a super-2 number, since 2×10506128136192² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506128136197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2740965508 + ... + 2740969340.

It is an arithmetic number, because the mean of its divisors is an integer number (37234665468).

Almost surely, 2^{10506128136192} is an apocalyptic number.

10506128136192 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 10506128136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872639424640).

10506128136192 is an abundant number, since it is smaller than the sum of its proper divisors (25239150713088).

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

10506128136192 is a wasteful number, since it uses less digits than its factorization.

10506128136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10506128136192 in words is "ten trillion, five hundred six billion, one hundred twenty-eight million, one hundred thirty-six thousand, one hundred ninety-two".