10686664800 has 864 divisors, whose sum is σ = 47021990400. Its totient is φ = 2331141120.

The previous prime is 10686664799. The next prime is 10686664811. The reversal of 10686664800 is 846668601.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10686664800² (a number of 21 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 24342981 + ... + 24343419.

It is an arithmetic number, because the mean of its divisors is an integer number (54423600).

Almost surely, 2^10686664800 is an apocalyptic number.

10686664800 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 10686664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510995200).

10686664800 is an abundant number, since it is smaller than the sum of its proper divisors (36335325600).

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

10686664800 is a wasteful number, since it uses less digits than its factorization.

10686664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10686664800 in words is "ten billion, six hundred eighty-six million, six hundred sixty-four thousand, eight hundred".