827227365120 has 648 divisors, whose sum is σ = 3214209385296. Its totient is φ = 203612258304.

The previous prime is 827227365119. The next prime is 827227365127. The reversal of 827227365120 is 21563722728.

827227365120 is a `hidden beast` number, since 8 + 272 + 2 + 7 + 365 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×827227365120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827227365127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52557892 + ... + 52573628.

Almost surely, 2^827227365120 is an apocalyptic number.

827227365120 is a gapful number since it is divisible by the number (80) 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 827227365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607104692648).

827227365120 is an abundant number, since it is smaller than the sum of its proper divisors (2386982020176).

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

827227365120 is a wasteful number, since it uses less digits than its factorization.

827227365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15799 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 827227365120 in words is "eight hundred twenty-seven billion, two hundred twenty-seven million, three hundred sixty-five thousand, one hundred twenty".