10603783082816 has 1344 divisors, whose sum is σ = 31016045664000. Its totient is φ = 3543845437440.

The previous prime is 10603783082801. The next prime is 10603783082843. The reversal of 10603783082816 is 61828038730601.

It is a super-2 number, since 2×10603783082816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119143630100 + ... + 119143630188.

Almost surely, 2^{10603783082816} is an apocalyptic number.

10603783082816 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 10603783082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508022832000).

10603783082816 is an abundant number, since it is smaller than the sum of its proper divisors (20412262581184).

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

10603783082816 is a wasteful number, since it uses less digits than its factorization.

10603783082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 10603783082816 in words is "ten trillion, six hundred three billion, seven hundred eighty-three million, eighty-two thousand, eight hundred sixteen".