10556209889280 has 1824 divisors, whose sum is σ = 43529947388928. Its totient is φ = 2429131161600.

The previous prime is 10556209889221. The next prime is 10556209889311. The reversal of 10556209889280 is 8298890265501.

It is a super-2 number, since 2×10556209889280² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80581754815 + ... + 80581754945.

Almost surely, 2^{10556209889280} is an apocalyptic number.

10556209889280 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 10556209889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764973694464).

10556209889280 is an abundant number, since it is smaller than the sum of its proper divisors (32973737499648).

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

10556209889280 is an frugal number, since it uses more digits than its factorization.

10556209889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 10556209889280 in words is "ten trillion, five hundred fifty-six billion, two hundred nine million, eight hundred eighty-nine thousand, two hundred eighty".