10817089920 has 640 divisors, whose sum is σ = 47565080640. Its totient is φ = 2281291776.

The previous prime is 10817089883. The next prime is 10817089951. The reversal of 10817089920 is 2998071801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4716294 + ... + 4718586.

Almost surely, 2^10817089920 is an apocalyptic number.

10817089920 is a gapful number since it is divisible by the number (10) 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 10817089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23782540320).

10817089920 is an abundant number, since it is smaller than the sum of its proper divisors (36747990720).

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

10817089920 is a wasteful number, since it uses less digits than its factorization.

10817089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 10817089920 in words is "ten billion, eight hundred seventeen million, eighty-nine thousand, nine hundred twenty".