27954192960 has 224 divisors, whose sum is σ = 101798323200. Its totient is φ = 7213916160.

The previous prime is 27954192953. The next prime is 27954192971. The reversal of 27954192960 is 6929145972.

27954192960 is a `hidden beast` number, since 2 + 7 + 9 + 541 + 9 + 2 + 96 + 0 = 666.

It is a super-3 number, since 3×27954192960³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27954192897 and 27954192906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215656 + ... + 320024.

It is an arithmetic number, because the mean of its divisors is an integer number (454456800).

Almost surely, 2^27954192960 is an apocalyptic number.

27954192960 is a gapful number since it is divisible by the number (20) 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 27954192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50899161600).

27954192960 is an abundant number, since it is smaller than the sum of its proper divisors (73844130240).

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

27954192960 is a wasteful number, since it uses less digits than its factorization.

27954192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104426 (or 104410 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 27954192960 in words is "twenty-seven billion, nine hundred fifty-four million, one hundred ninety-two thousand, nine hundred sixty".