5703082814016 has 672 divisors, whose sum is σ = 20789944704000. Its totient is φ = 1523252183040.

The previous prime is 5703082813949. The next prime is 5703082814081. The reversal of 5703082814016 is 6104182803075.

5703082814016 is a `hidden beast` number, since 57 + 0 + 308 + 281 + 4 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214460881 + ... + 214487471.

Almost surely, 2^{5703082814016} is an apocalyptic number.

5703082814016 is a gapful number since it is divisible by the number (56) 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 5703082814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394972352000).

5703082814016 is an abundant number, since it is smaller than the sum of its proper divisors (15086861889984).

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

5703082814016 is a wasteful number, since it uses less digits than its factorization.

5703082814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26792 (or 26769 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5703082814016 in words is "five trillion, seven hundred three billion, eighty-two million, eight hundred fourteen thousand, sixteen".