27809987040 has 384 divisors, whose sum is σ = 107143948800. Its totient is φ = 6680862720.

The previous prime is 27809987003. The next prime is 27809987077. The reversal of 27809987040 is 4078990872.

It is an interprime number because it is at equal distance from previous prime (27809987003) and next prime (27809987077).

It is a super-3 number, since 3×27809987040³ (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5367171 + ... + 5372349.

It is an arithmetic number, because the mean of its divisors is an integer number (279020700).

Almost surely, 2^27809987040 is an apocalyptic number.

27809987040 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 27809987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53571974400).

27809987040 is an abundant number, since it is smaller than the sum of its proper divisors (79333961760).

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

27809987040 is a wasteful number, since it uses less digits than its factorization.

27809987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 27809987040 in words is "twenty-seven billion, eight hundred nine million, nine hundred eighty-seven thousand, forty".