27954081360 has 480 divisors, whose sum is σ = 105571814400. Its totient is φ = 6595706880.

The previous prime is 27954081313. The next prime is 27954081367. The reversal of 27954081360 is 6318045972.

27954081360 is a `hidden beast` number, since 2 + 79 + 540 + 8 + 1 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27954081367) 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, 12297184 + ... + 12299456.

It is an arithmetic number, because the mean of its divisors is an integer number (219941280).

It is a 1-persistent number, because it is pandigital, but 2⋅27954081360 = 55908162720 is not.

Almost surely, 2^27954081360 is an apocalyptic number.

27954081360 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 27954081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52785907200).

27954081360 is an abundant number, since it is smaller than the sum of its proper divisors (77617733040).

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

27954081360 is a wasteful number, since it uses less digits than its factorization.

27954081360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27954081360 in words is "twenty-seven billion, nine hundred fifty-four million, eighty-one thousand, three hundred sixty".