10305365616 has 840 divisors, whose sum is σ = 40017178320. Its totient is φ = 2539579392.

The previous prime is 10305365599. The next prime is 10305365617. The reversal of 10305365616 is 61656350301.

10305365616 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 36 + 5 + 616 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305365617) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 141169356 + ... + 141169428.

It is an arithmetic number, because the mean of its divisors is an integer number (47639498).

Almost surely, 2^10305365616 is an apocalyptic number.

10305365616 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 10305365616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20008589160).

10305365616 is an abundant number, since it is smaller than the sum of its proper divisors (29711812704).

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

10305365616 is a wasteful number, since it uses less digits than its factorization.

10305365616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10305365616 in words is "ten billion, three hundred five million, three hundred sixty-five thousand, six hundred sixteen".