11772201782880 has 1920 divisors, whose sum is σ = 54823425592320. Its totient is φ = 2304701890560.

The previous prime is 11772201782849. The next prime is 11772201782953. The reversal of 11772201782880 is 8828710227711.

11772201782880 is a `hidden beast` number, since 1 + 1 + 77 + 220 + 1 + 78 + 288 + 0 = 666.

It is a super-2 number, since 2×11772201782880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3659371032 + ... + 3659374248.

It is an arithmetic number, because the mean of its divisors is an integer number (28553867496).

Almost surely, 2^{11772201782880} is an apocalyptic number.

11772201782880 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 11772201782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27411712796160).

11772201782880 is an abundant number, since it is smaller than the sum of its proper divisors (43051223809440).

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

11772201782880 is a wasteful number, since it uses less digits than its factorization.

11772201782880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 54.

The spelling of 11772201782880 in words is "eleven trillion, seven hundred seventy-two billion, two hundred one million, seven hundred eighty-two thousand, eight hundred eighty".