10852632960960 has 448 divisors, whose sum is σ = 39608814034944. Its totient is φ = 2466190540800.

The previous prime is 10852632960947. The next prime is 10852632961003. The reversal of 10852632960960 is 6906923625801.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×10852632960960³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10852632960960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230313350 + ... + 1230322170.

It is an arithmetic number, because the mean of its divisors is an integer number (88412531328).

Almost surely, 2^{10852632960960} is an apocalyptic number.

10852632960960 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 10852632960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804407017472).

10852632960960 is an abundant number, since it is smaller than the sum of its proper divisors (28756181073984).

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

10852632960960 is a wasteful number, since it uses less digits than its factorization.

10852632960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 10852632960960 in words is "ten trillion, eight hundred fifty-two billion, six hundred thirty-two million, nine hundred sixty thousand, nine hundred sixty".