27254117952 has 168 divisors, whose sum is σ = 81819122112. Its totient is φ = 8994240000.

The previous prime is 27254117951. The next prime is 27254117963. The reversal of 27254117952 is 25971145272.

27254117952 is a `hidden beast` number, since 2 + 7 + 2 + 541 + 17 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27254117898 and 27254117907.

It is not an unprimeable number, because it can be changed into a prime (27254117951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1562077 + ... + 1579427.

It is an arithmetic number, because the mean of its divisors is an integer number (487018584).

Almost surely, 2^27254117952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27254117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40909561056).

27254117952 is an abundant number, since it is smaller than the sum of its proper divisors (54565004160).

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

27254117952 is a wasteful number, since it uses less digits than its factorization.

27254117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17479 (or 17457 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 27254117952 in words is "twenty-seven billion, two hundred fifty-four million, one hundred seventeen thousand, nine hundred fifty-two".