27925161984 has 144 divisors (see below), whose sum is σ = 80784112500. Its totient is φ = 9293266944.

The previous prime is 27925161961. The next prime is 27925161989. The reversal of 27925161984 is 48916152972.

It is a happy number.

27925161984 is a `hidden beast` number, since 27 + 92 + 516 + 19 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24878121984 + 3047040000 = 157728^2 + 55200^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 27925161984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27925161989) 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, 22357392 + ... + 22358640.

Almost surely, 2^27925161984 is an apocalyptic number.

27925161984 is a gapful number since it is divisible by the number (24) 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 27925161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40392056250).

27925161984 is an abundant number, since it is smaller than the sum of its proper divisors (52858950516).

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

27925161984 is a wasteful number, since it uses less digits than its factorization.

27925161984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2467 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 27925161984 in words is "twenty-seven billion, nine hundred twenty-five million, one hundred sixty-one thousand, nine hundred eighty-four".