10686816000 has 1440 divisors, whose sum is σ = 49385656320. Its totient is φ = 2239488000.

The previous prime is 10686815983. The next prime is 10686816001. The reversal of 10686816000 is 61868601.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×10686816000² (a number of 21 digits) contains 22 as substring.

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 (10686816001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 344735985 + ... + 344736015.

Almost surely, 2^10686816000 is an apocalyptic number.

10686816000 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 10686816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24692828160).

10686816000 is an abundant number, since it is smaller than the sum of its proper divisors (38698840320).

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

10686816000 is an equidigital number, since it uses as much as digits as its factorization.

10686816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10686816000 in words is "ten billion, six hundred eighty-six million, eight hundred sixteen thousand".