27094092480 has 672 divisors, whose sum is σ = 116485684224. Its totient is φ = 5627584512.

The previous prime is 27094092463. The next prime is 27094092481. The reversal of 27094092480 is 8429049072.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (27094092481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17558589 + ... + 17560131.

It is an arithmetic number, because the mean of its divisors is an integer number (173341792).

Almost surely, 2^27094092480 is an apocalyptic number.

27094092480 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 27094092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58242842112).

27094092480 is an abundant number, since it is smaller than the sum of its proper divisors (89391591744).

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

27094092480 is a wasteful number, since it uses less digits than its factorization.

27094092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27094092480 in words is "twenty-seven billion, ninety-four million, ninety-two thousand, four hundred eighty".