10084826401650 has 3840 divisors, whose sum is σ = 42259207237632. Its totient is φ = 1713954816000.

The previous prime is 10084826401619. The next prime is 10084826401703. The reversal of 10084826401650 is 5610462848001.

It is a happy number.

10084826401650 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 482 + 6 + 4 + 0 + 165 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10084826401596 and 10084826401605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 121503932509 + ... + 121503932591.

Almost surely, 2^{10084826401650} is an apocalyptic number.

10084826401650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10084826401650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21129603618816).

10084826401650 is an abundant number, since it is smaller than the sum of its proper divisors (32174380835982).

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

10084826401650 is a wasteful number, since it uses less digits than its factorization.

10084826401650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10084826401650 in words is "ten trillion, eighty-four billion, eight hundred twenty-six million, four hundred one thousand, six hundred fifty".