11678738227200 has 2016 divisors, whose sum is σ = 49925167299072. Its totient is φ = 2576351232000.

The previous prime is 11678738227157. The next prime is 11678738227213. The reversal of 11678738227200 is 272283787611.

11678738227200 is a `hidden beast` number, since 1 + 167 + 87 + 382 + 2 + 7 + 20 + 0 = 666.

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, 10685029854 + ... + 10685030946.

Almost surely, 2^{11678738227200} is an apocalyptic number.

11678738227200 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 11678738227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24962583649536).

11678738227200 is an abundant number, since it is smaller than the sum of its proper divisors (38246429071872).

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

11678738227200 is a wasteful number, since it uses less digits than its factorization.

11678738227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 11678738227200 in words is "eleven trillion, six hundred seventy-eight billion, seven hundred thirty-eight million, two hundred twenty-seven thousand, two hundred".