27148779840 has 448 divisors, whose sum is σ = 106968121344. Its totient is φ = 5680668672.

The previous prime is 27148779787. The next prime is 27148779841. The reversal of 27148779840 is 4897784172.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×27148779840³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148779841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11093497 + ... + 11095943.

It is an arithmetic number, because the mean of its divisors is an integer number (238768128).

Almost surely, 2^27148779840 is an apocalyptic number.

27148779840 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 27148779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53484060672).

27148779840 is an abundant number, since it is smaller than the sum of its proper divisors (79819341504).

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

27148779840 is a wasteful number, since it uses less digits than its factorization.

27148779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 57.

The spelling of 27148779840 in words is "twenty-seven billion, one hundred forty-eight million, seven hundred seventy-nine thousand, eight hundred forty".