10985345280 has 864 divisors, whose sum is σ = 48933360000. Its totient is φ = 2313142272.

The previous prime is 10985345263. The next prime is 10985345303. The reversal of 10985345280 is 8254358901.

10985345280 is a `hidden beast` number, since 1 + 0 + 98 + 5 + 34 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 22014471 + ... + 22014969.

Almost surely, 2^10985345280 is an apocalyptic number.

10985345280 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 10985345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24466680000).

10985345280 is an abundant number, since it is smaller than the sum of its proper divisors (37948014720).

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

10985345280 is a wasteful number, since it uses less digits than its factorization.

10985345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10985345280 in words is "ten billion, nine hundred eighty-five million, three hundred forty-five thousand, two hundred eighty".