10356783216 has 80 divisors (see below), whose sum is σ = 28849299360. Its totient is φ = 3182699520.

The previous prime is 10356783187. The next prime is 10356783223. The reversal of 10356783216 is 61238765301.

It is a super-3 number, since 3×10356783216³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507286 + ... + 527306.

It is an arithmetic number, because the mean of its divisors is an integer number (360616242).

Almost surely, 2^10356783216 is an apocalyptic number.

10356783216 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 10356783216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424649680).

10356783216 is an abundant number, since it is smaller than the sum of its proper divisors (18492516144).

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

10356783216 is a wasteful number, since it uses less digits than its factorization.

10356783216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20874 (or 20868 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10356783216 in words is "ten billion, three hundred fifty-six million, seven hundred eighty-three thousand, two hundred sixteen".