8271904077972 has 36 divisors (see below), whose sum is σ = 20920604583060. Its totient is φ = 2755841674752.

The previous prime is 8271904077883. The next prime is 8271904077979. The reversal of 8271904077972 is 2797704091728.

8271904077972 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 90 + 407 + 79 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5412713922576 + 2859190155396 = 2326524^2 + 1690914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8271904077979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60751243 + ... + 60887250.

It is an arithmetic number, because the mean of its divisors is an integer number (581127905085).

Almost surely, 2^{8271904077972} is an apocalyptic number.

It is an amenable number.

8271904077972 is an abundant number, since it is smaller than the sum of its proper divisors (12648700505088).

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

8271904077972 is a wasteful number, since it uses less digits than its factorization.

8271904077972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121640392 (or 121640387 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 8271904077972 in words is "eight trillion, two hundred seventy-one billion, nine hundred four million, seventy-seven thousand, nine hundred seventy-two".