11288211261600 has 864 divisors, whose sum is σ = 46547602637760. Its totient is φ = 2354899599360.

The previous prime is 11288211261599. The next prime is 11288211261617. The reversal of 11288211261600 is 616211288211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136021719 + ... + 136104681.

It is an arithmetic number, because the mean of its divisors is an integer number (53874540090).

Almost surely, 2^{11288211261600} is an apocalyptic number.

11288211261600 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 11288211261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23273801318880).

11288211261600 is an abundant number, since it is smaller than the sum of its proper divisors (35259391376160).

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

11288211261600 is a wasteful number, since it uses less digits than its factorization.

11288211261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83102 (or 83082 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 11288211261600 in words is "eleven trillion, two hundred eighty-eight billion, two hundred eleven million, two hundred sixty-one thousand, six hundred".