10552966913880 has 256 divisors, whose sum is σ = 37248937344000. Its totient is φ = 2648362235904.

The previous prime is 10552966913837. The next prime is 10552966913899. The reversal of 10552966913880 is 8831966925501.

10552966913880 is a `hidden beast` number, since 1 + 0 + 552 + 9 + 6 + 69 + 13 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×10552966913880² (a number of 27 digits) contains 22 as substring.

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, 359088547 + ... + 359117933.

It is an arithmetic number, because the mean of its divisors is an integer number (145503661500).

Almost surely, 2^{10552966913880} is an apocalyptic number.

10552966913880 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 10552966913880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624468672000).

10552966913880 is an abundant number, since it is smaller than the sum of its proper divisors (26695970430120).

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

10552966913880 is a wasteful number, since it uses less digits than its factorization.

10552966913880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48983 (or 48973 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 10552966913880 in words is "ten trillion, five hundred fifty-two billion, nine hundred sixty-six million, nine hundred thirteen thousand, eight hundred eighty".