10096505146000 has 480 divisors, whose sum is σ = 30285450464256. Its totient is φ = 3187641600000.

The previous prime is 10096505145989. The next prime is 10096505146109. The reversal of 10096505146000 is 64150569001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1019741050 + ... + 1019750950.

Almost surely, 2^{10096505146000} is an apocalyptic number.

10096505146000 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 10096505146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142725232128).

10096505146000 is an abundant number, since it is smaller than the sum of its proper divisors (20188945318256).

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

10096505146000 is a wasteful number, since it uses less digits than its factorization.

10096505146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 10096505146000 in words is "ten trillion, ninety-six billion, five hundred five million, one hundred forty-six thousand".