10664850873600 has 5184 divisors, whose sum is σ = 53007747287040. Its totient is φ = 2056745779200.

The previous prime is 10664850873581. The next prime is 10664850873673. The reversal of 10664850873600 is 637805846601.

10664850873600 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 8 + 508 + 73 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×10664850873600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 128492179159 + ... + 128492179241.

Almost surely, 2^{10664850873600} is an apocalyptic number.

10664850873600 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 10664850873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503873643520).

10664850873600 is an abundant number, since it is smaller than the sum of its proper divisors (42342896413440).

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

10664850873600 is a wasteful number, since it uses less digits than its factorization.

10664850873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10664850873600 in words is "ten trillion, six hundred sixty-four billion, eight hundred fifty million, eight hundred seventy-three thousand, six hundred".