10985811200 has 324 divisors, whose sum is σ = 33673657248. Its totient is φ = 3474432000.

The previous prime is 10985811197. The next prime is 10985811203. The reversal of 10985811200 is 211858901.

It is an interprime number because it is at equal distance from previous prime (10985811197) and next prime (10985811203).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985811203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7570475 + ... + 7571925.

Almost surely, 2^10985811200 is an apocalyptic number.

10985811200 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 10985811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836828624).

10985811200 is an abundant number, since it is smaller than the sum of its proper divisors (22687846048).

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

10985811200 is a wasteful number, since it uses less digits than its factorization.

10985811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 35.

The spelling of 10985811200 in words is "ten billion, nine hundred eighty-five million, eight hundred eleven thousand, two hundred".