10801310304 has 192 divisors, whose sum is σ = 31407264000. Its totient is φ = 3236567040.

The previous prime is 10801310269. The next prime is 10801310339. The reversal of 10801310304 is 40301310801.

It is an interprime number because it is at equal distance from previous prime (10801310269) and next prime (10801310339).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3119134 + ... + 3122594.

It is an arithmetic number, because the mean of its divisors is an integer number (163579500).

Almost surely, 2^10801310304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10801310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703632000).

10801310304 is an abundant number, since it is smaller than the sum of its proper divisors (20605953696).

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

10801310304 is a wasteful number, since it uses less digits than its factorization.

10801310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 10801310304 in words is "ten billion, eight hundred one million, three hundred ten thousand, three hundred four".