10006315742050 has 48 divisors (see below), whose sum is σ = 19883720708640. Its totient is φ = 3735271964160.

The previous prime is 10006315742021. The next prime is 10006315742063. The reversal of 10006315742050 is 5024751360001.

It is a junction number, because it is equal to n+sod(n) for n = 10006315741997 and 10006315742015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78540559 + ... + 78667858.

It is an arithmetic number, because the mean of its divisors is an integer number (414244181430).

Almost surely, 2^{10006315742050} is an apocalyptic number.

10006315742050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10006315742050 is a deficient number, since it is larger than the sum of its proper divisors (9877404966590).

10006315742050 is a wasteful number, since it uses less digits than its factorization.

10006315742050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157208515 (or 157208510 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 10006315742050 in words is "ten trillion, six billion, three hundred fifteen million, seven hundred forty-two thousand, fifty".