10283350066176 has 704 divisors, whose sum is σ = 31447831080960. Its totient is φ = 2958950400000.

The previous prime is 10283350066163. The next prime is 10283350066181. The reversal of 10283350066176 is 67166005338201.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23859280681 + ... + 23859281111.

Almost surely, 2^{10283350066176} is an apocalyptic number.

10283350066176 is a gapful number since it is divisible by the number (16) 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 10283350066176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723915540480).

10283350066176 is an abundant number, since it is smaller than the sum of its proper divisors (21164481014784).

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

10283350066176 is a wasteful number, since it uses less digits than its factorization.

10283350066176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 10283350066176 in words is "ten trillion, two hundred eighty-three billion, three hundred fifty million, sixty-six thousand, one hundred seventy-six".