11477226700800 has 3780 divisors, whose sum is σ = 54535198100320. Its totient is φ = 2339100426240.

The previous prime is 11477226700789. The next prime is 11477226700813. The reversal of 11477226700800 is 800762277411.

11477226700800 is a `hidden beast` number, since 11 + 477 + 2 + 26 + 70 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 604064563191 + ... + 604064563209.

Almost surely, 2^{11477226700800} is an apocalyptic number.

11477226700800 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 11477226700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27267599050160).

11477226700800 is an abundant number, since it is smaller than the sum of its proper divisors (43057971399520).

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

11477226700800 is an frugal number, since it uses more digits than its factorization.

11477226700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 11477226700800 in words is "eleven trillion, four hundred seventy-seven billion, two hundred twenty-six million, seven hundred thousand, eight hundred".