11146501200 has 240 divisors, whose sum is σ = 36655153920. Its totient is φ = 2894069760.

The previous prime is 11146501199. The next prime is 11146501207. The reversal of 11146501200 is 210564111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146501207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14494416 + ... + 14495184.

It is an arithmetic number, because the mean of its divisors is an integer number (152729808).

Almost surely, 2^11146501200 is an apocalyptic number.

11146501200 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 11146501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18327576960).

11146501200 is an abundant number, since it is smaller than the sum of its proper divisors (25508652720).

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

11146501200 is a wasteful number, since it uses less digits than its factorization.

11146501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 11146501200 in words is "eleven billion, one hundred forty-six million, five hundred one thousand, two hundred".