11627268355200 has 192 divisors, whose sum is σ = 38433613439520. Its totient is φ = 3089569996800.

The previous prime is 11627268355169. The next prime is 11627268355247. The reversal of 11627268355200 is 255386272611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11627268355200.

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 23 ways as a sum of consecutive naturals, for example, 542487 + ... + 4852713.

Almost surely, 2^{11627268355200} is an apocalyptic number.

11627268355200 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 11627268355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19216806719760).

11627268355200 is an abundant number, since it is smaller than the sum of its proper divisors (26806345084320).

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

11627268355200 is a wasteful number, since it uses less digits than its factorization.

11627268355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310535 (or 4310518 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 11627268355200 in words is "eleven trillion, six hundred twenty-seven billion, two hundred sixty-eight million, three hundred fifty-five thousand, two hundred".