11227525956800 has 84 divisors (see below), whose sum is σ = 27812145950400. Its totient is φ = 4460869278720.

The previous prime is 11227525956799. The next prime is 11227525956809. The reversal of 11227525956800 is 865952572211.

It is a happy number.

It is a super-2 number, since 2×11227525956800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11227525956809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23309264 + ... + 23786063.

It is an arithmetic number, because the mean of its divisors is an integer number (331096975600).

Almost surely, 2^{11227525956800} is an apocalyptic number.

11227525956800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11227525956800 is an abundant number, since it is smaller than the sum of its proper divisors (16584619993600).

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

11227525956800 is a wasteful number, since it uses less digits than its factorization.

11227525956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47095498 (or 47095483 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 53.

The spelling of 11227525956800 in words is "eleven trillion, two hundred twenty-seven billion, five hundred twenty-five million, nine hundred fifty-six thousand, eight hundred".