10884660075520 has 704 divisors, whose sum is σ = 35757009100800. Its totient is φ = 3074271805440.

The previous prime is 10884660075503. The next prime is 10884660075521. The reversal of 10884660075520 is 2557006648801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10884660075521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172251291 + ... + 172314469.

Almost surely, 2^{10884660075520} is an apocalyptic number.

10884660075520 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 10884660075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17878504550400).

10884660075520 is an abundant number, since it is smaller than the sum of its proper divisors (24872349025280).

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

10884660075520 is a wasteful number, since it uses less digits than its factorization.

10884660075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63264 (or 63246 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 10884660075520 in words is "ten trillion, eight hundred eighty-four billion, six hundred sixty million, seventy-five thousand, five hundred twenty".