27332867772000 has 5760 divisors, whose sum is σ = 131879997849600. Its totient is φ = 5502422016000.

The previous prime is 27332867771987. The next prime is 27332867772011. The reversal of 27332867772000 is 27776823372.

It is a happy number.

27332867772000 is a `hidden beast` number, since 27 + 332 + 86 + 7 + 7 + 7 + 200 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 345985667961 + ... + 345985668039.

It is an arithmetic number, because the mean of its divisors is an integer number (22895832960).

Almost surely, 2^{27332867772000} is an apocalyptic number.

27332867772000 is a gapful number since it is divisible by the number (20) 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 27332867772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65939998924800).

27332867772000 is an abundant number, since it is smaller than the sum of its proper divisors (104547130077600).

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

27332867772000 is a wasteful number, since it uses less digits than its factorization.

27332867772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 27332867772000 in words is "twenty-seven trillion, three hundred thirty-two billion, eight hundred sixty-seven million, seven hundred seventy-two thousand".