10416526632050 has 96 divisors (see below), whose sum is σ = 24394683890304. Its totient is φ = 3214563840000.

The previous prime is 10416526632013. The next prime is 10416526632077. The reversal of 10416526632050 is 5023662561401.

It is a happy number.

10416526632050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10416526631989 and 10416526632007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13005167 + ... + 13782866.

It is an arithmetic number, because the mean of its divisors is an integer number (254111290524).

Almost surely, 2^{10416526632050} is an apocalyptic number.

10416526632050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10416526632050 is an abundant number, since it is smaller than the sum of its proper divisors (13978157258254).

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

10416526632050 is a wasteful number, since it uses less digits than its factorization.

10416526632050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26788164 (or 26788159 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 10416526632050 in words is "ten trillion, four hundred sixteen billion, five hundred twenty-six million, six hundred thirty-two thousand, fifty".