11557097200 has 180 divisors, whose sum is σ = 30947106064. Its totient is φ = 4143744000.

The previous prime is 11557097191. The next prime is 11557097213. The reversal of 11557097200 is 279075511.

It is a self number, because there is not a number n which added to its sum of digits gives 11557097200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3531565 + ... + 3534835.

Almost surely, 2^11557097200 is an apocalyptic number.

11557097200 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 11557097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473553032).

11557097200 is an abundant number, since it is smaller than the sum of its proper divisors (19390008864).

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

11557097200 is a wasteful number, since it uses less digits than its factorization.

11557097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 37.

The spelling of 11557097200 in words is "eleven billion, five hundred fifty-seven million, ninety-seven thousand, two hundred".