27275152968 has 384 divisors, whose sum is σ = 90172293120. Its totient is φ = 7280824320.

The previous prime is 27275152967. The next prime is 27275152999. The reversal of 27275152968 is 86925157272.

27275152968 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 51 + 529 + 68 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (4233600) is a multiple of the sum of its prime divisors (450).

It is not an unprimeable number, because it can be changed into a prime (27275152963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142801753 + ... + 142801943.

It is an arithmetic number, because the mean of its divisors is an integer number (234823680).

Almost surely, 2^27275152968 is an apocalyptic number.

27275152968 is a gapful number since it is divisible by the number (28) 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 27275152968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45086146560).

27275152968 is an abundant number, since it is smaller than the sum of its proper divisors (62897140152).

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

27275152968 is a wasteful number, since it uses less digits than its factorization.

27275152968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 27275152968 in words is "twenty-seven billion, two hundred seventy-five million, one hundred fifty-two thousand, nine hundred sixty-eight".