27806278140 has 288 divisors, whose sum is σ = 90603152640. Its totient is φ = 6878527488.

The previous prime is 27806278079. The next prime is 27806278141. The reversal of 27806278140 is 4187260872.

27806278140 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 627 + 8 + 14 + 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 (27806278141) 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, 116344141 + ... + 116344379.

It is an arithmetic number, because the mean of its divisors is an integer number (314594280).

Almost surely, 2^27806278140 is an apocalyptic number.

27806278140 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 27806278140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45301576320).

27806278140 is an abundant number, since it is smaller than the sum of its proper divisors (62796874500).

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

27806278140 is a wasteful number, since it uses less digits than its factorization.

27806278140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 27806278140 in words is "twenty-seven billion, eight hundred six million, two hundred seventy-eight thousand, one hundred forty".