10113804288 has 768 divisors, whose sum is σ = 38211264000. Its totient is φ = 2576351232.

The previous prime is 10113804287. The next prime is 10113804353. The reversal of 10113804288 is 88240831101.

It is a tau number, because it is divible by the number of its divisors (768).

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 (10113804287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190826470 + ... + 190826522.

It is an arithmetic number, because the mean of its divisors is an integer number (49754250).

Almost surely, 2^10113804288 is an apocalyptic number.

10113804288 is a gapful number since it is divisible by the number (18) 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 10113804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632000).

10113804288 is an abundant number, since it is smaller than the sum of its proper divisors (28097459712).

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

10113804288 is a wasteful number, since it uses less digits than its factorization.

10113804288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10113804288 in words is "ten billion, one hundred thirteen million, eight hundred four thousand, two hundred eighty-eight".