11540520200 has 216 divisors, whose sum is σ = 31150213290. Its totient is φ = 3972672000.

The previous prime is 11540520149. The next prime is 11540520221. The reversal of 11540520200 is 202504511.

It can be written as a sum of positive squares in 3 ways, for example, as 10659736516 + 880783684 = 103246^2 + 29678^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8735540 + ... + 8736860.

Almost surely, 2^11540520200 is an apocalyptic number.

11540520200 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 11540520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575106645).

11540520200 is an abundant number, since it is smaller than the sum of its proper divisors (19609693090).

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

11540520200 is a wasteful number, since it uses less digits than its factorization.

11540520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 11540520200 in words is "eleven billion, five hundred forty million, five hundred twenty thousand, two hundred".