10302653216 has 96 divisors (see below), whose sum is σ = 21381796800. Its totient is φ = 4880010240.

The previous prime is 10302653201. The next prime is 10302653279. The reversal of 10302653216 is 61235620301.

It is a super-3 number, since 3×10302653216³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13940975 + ... + 13941713.

It is an arithmetic number, because the mean of its divisors is an integer number (222727050).

Almost surely, 2^10302653216 is an apocalyptic number.

10302653216 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 10302653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690898400).

10302653216 is an abundant number, since it is smaller than the sum of its proper divisors (11079143584).

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

10302653216 is a wasteful number, since it uses less digits than its factorization.

10302653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 10302653216 in words is "ten billion, three hundred two million, six hundred fifty-three thousand, two hundred sixteen".