11628356371200 has 1296 divisors, whose sum is σ = 44568355942656. Its totient is φ = 2998027468800.

The previous prime is 11628356371123. The next prime is 11628356371273. The reversal of 11628356371200 is 217365382611.

It is a happy number.

11628356371200 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 3 + 5 + 637 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5852216607 + ... + 5852218593.

It is an arithmetic number, because the mean of its divisors is an integer number (34389163536).

Almost surely, 2^{11628356371200} is an apocalyptic number.

11628356371200 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 11628356371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284177971328).

11628356371200 is an abundant number, since it is smaller than the sum of its proper divisors (32939999571456).

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

11628356371200 is an equidigital number, since it uses as much as digits as its factorization.

11628356371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11628356371200 in words is "eleven trillion, six hundred twenty-eight billion, three hundred fifty-six million, three hundred seventy-one thousand, two hundred".