10001817888 has 216 divisors, whose sum is σ = 28253888208. Its totient is φ = 3097188864.

The previous prime is 10001817871. The next prime is 10001817899. The reversal of 10001817888 is 88871810001.

It is a super-2 number, since 2×10001817888² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149280831 + ... + 149280897.

It is an arithmetic number, because the mean of its divisors is an integer number (130805038).

Almost surely, 2^10001817888 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 10001817888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126944104).

10001817888 is an abundant number, since it is smaller than the sum of its proper divisors (18252070320).

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

10001817888 is an equidigital number, since it uses as much as digits as its factorization.

10001817888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 42.

The spelling of 10001817888 in words is "ten billion, one million, eight hundred seventeen thousand, eight hundred eighty-eight".