11071987200 has 600 divisors, whose sum is σ = 41903021160. Its totient is φ = 2886451200.

The previous prime is 11071987153. The next prime is 11071987217. The reversal of 11071987200 is 278917011.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61171110 + ... + 61171290.

Almost surely, 2^11071987200 is an apocalyptic number.

11071987200 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 11071987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951510580).

11071987200 is an abundant number, since it is smaller than the sum of its proper divisors (30831033960).

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

11071987200 is an equidigital number, since it uses as much as digits as its factorization.

11071987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 11071987200 in words is "eleven billion, seventy-one million, nine hundred eighty-seven thousand, two hundred".