10216818304 has 384 divisors, whose sum is σ = 28331389440. Its totient is φ = 3612672000.

The previous prime is 10216818289. The next prime is 10216818307. The reversal of 10216818304 is 40381861201.

It is a hoax number, since the sum of its digits (34) 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 (34).

It is a self number, because there is not a number n which added to its sum of digits gives 10216818304.

It is not an unprimeable number, because it can be changed into a prime (10216818307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36358644 + ... + 36358924.

It is an arithmetic number, because the mean of its divisors is an integer number (73779660).

Almost surely, 2^10216818304 is an apocalyptic number.

10216818304 is a gapful number since it is divisible by the number (14) 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 10216818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165694720).

10216818304 is an abundant number, since it is smaller than the sum of its proper divisors (18114571136).

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

10216818304 is a wasteful number, since it uses less digits than its factorization.

10216818304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 10216818304 in words is "ten billion, two hundred sixteen million, eight hundred eighteen thousand, three hundred four".