275927220092106 has 576 divisors, whose sum is σ = 725273849664000. Its totient is φ = 77858073296640.

The previous prime is 275927220092099. The next prime is 275927220092123. The reversal of 275927220092106 is 601290022729572.

275927220092106 is a `hidden beast` number, since 2 + 7 + 592 + 7 + 2 + 20 + 0 + 9 + 21 + 0 + 6 = 666.

It is a super-2 number, since 2×275927220092106² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25693934485 + ... + 25693945223.

It is an arithmetic number, because the mean of its divisors is an integer number (1259155989000).

Almost surely, 2^{275927220092106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275927220092106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362636924832000).

275927220092106 is an abundant number, since it is smaller than the sum of its proper divisors (449346629571894).

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

275927220092106 is a wasteful number, since it uses less digits than its factorization.

275927220092106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10961 (or 10896 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 275927220092106 in words is "two hundred seventy-five trillion, nine hundred twenty-seven billion, two hundred twenty million, ninety-two thousand, one hundred six".