11514640200 has 96 divisors (see below), whose sum is σ = 40794740160. Its totient is φ = 2631916800.

The previous prime is 11514640183. The next prime is 11514640261. The reversal of 11514640200 is 204641511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366591 + ... + 1374990.

It is an arithmetic number, because the mean of its divisors is an integer number (424945210).

Almost surely, 2^11514640200 is an apocalyptic number.

11514640200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11514640200 is an abundant number, since it is smaller than the sum of its proper divisors (29280099960).

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

11514640200 is a wasteful number, since it uses less digits than its factorization.

11514640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741607 (or 2741598 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11514640200 in words is "eleven billion, five hundred fourteen million, six hundred forty thousand, two hundred".