1035853713216 has 168 divisors, whose sum is σ = 3395686985600. Its totient is φ = 295745043456.

The previous prime is 1035853713197. The next prime is 1035853713283. The reversal of 1035853713216 is 6123173585301.

1035853713216 is a `hidden beast` number, since 1 + 0 + 3 + 585 + 37 + 1 + 32 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×1035853713216³ (a number of 37 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 5548950 + ... + 5732586.

Almost surely, 2^{1035853713216} is an apocalyptic number.

1035853713216 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 1035853713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697843492800).

1035853713216 is an abundant number, since it is smaller than the sum of its proper divisors (2359833272384).

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

1035853713216 is a wasteful number, since it uses less digits than its factorization.

1035853713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185061 (or 185048 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1035853713216 in words is "one trillion, thirty-five billion, eight hundred fifty-three million, seven hundred thirteen thousand, two hundred sixteen".