11557270200 has 192 divisors, whose sum is σ = 40997376000. Its totient is φ = 2638333440.

The previous prime is 11557270171. The next prime is 11557270223. The reversal of 11557270200 is 207275511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5160681 + ... + 5162919.

It is an arithmetic number, because the mean of its divisors is an integer number (213528000).

Almost surely, 2^11557270200 is an apocalyptic number.

11557270200 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 11557270200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498688000).

11557270200 is an abundant number, since it is smaller than the sum of its proper divisors (29440105800).

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

11557270200 is a wasteful number, since it uses less digits than its factorization.

11557270200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The spelling of 11557270200 in words is "eleven billion, five hundred fifty-seven million, two hundred seventy thousand, two hundred".