11557021200 has 120 divisors (see below), whose sum is σ = 37257401088. Its totient is φ = 3062192640.

The previous prime is 11557021181. The next prime is 11557021211. The reversal of 11557021200 is 212075511.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157729 + ... + 219071.

Almost surely, 2^11557021200 is an apocalyptic number.

11557021200 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 11557021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18628700544).

11557021200 is an abundant number, since it is smaller than the sum of its proper divisors (25700379888).

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

11557021200 is a wasteful number, since it uses less digits than its factorization.

11557021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61521 (or 61510 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

Adding to 11557021200 its reverse (212075511), we get a palindrome (11769096711).

The spelling of 11557021200 in words is "eleven billion, five hundred fifty-seven million, twenty-one thousand, two hundred".