10646525568 has 384 divisors, whose sum is σ = 34900744320. Its totient is φ = 2861236224.

The previous prime is 10646525567. The next prime is 10646525581. The reversal of 10646525568 is 86552564601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-5 number, since 5×10646525568⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (10646525563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31591896 + ... + 31592232.

It is an arithmetic number, because the mean of its divisors is an integer number (90887355).

Almost surely, 2^10646525568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10646525568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450372160).

10646525568 is an abundant number, since it is smaller than the sum of its proper divisors (24254218752).

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

10646525568 is a wasteful number, since it uses less digits than its factorization.

10646525568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 10646525568 in words is "ten billion, six hundred forty-six million, five hundred twenty-five thousand, five hundred sixty-eight".