10817938560 has 768 divisors, whose sum is σ = 42880440960. Its totient is φ = 2285568000.

The previous prime is 10817938543. The next prime is 10817938567. The reversal of 10817938560 is 6583971801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10817938567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263852140 + ... + 263852180.

Almost surely, 2^10817938560 is an apocalyptic number.

10817938560 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 10817938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440220480).

10817938560 is an abundant number, since it is smaller than the sum of its proper divisors (32062502400).

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

10817938560 is a wasteful number, since it uses less digits than its factorization.

10817938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 10817938560 in words is "ten billion, eight hundred seventeen million, nine hundred thirty-eight thousand, five hundred sixty".