27107535840 has 768 divisors, whose sum is σ = 112034119680. Its totient is φ = 5345280000.

The previous prime is 27107535817. The next prime is 27107535841. The reversal of 27107535840 is 4853570172.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27107535792 and 27107535801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27107535841) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 67599640 + ... + 67600040.

It is an arithmetic number, because the mean of its divisors is an integer number (145877760).

Almost surely, 2^27107535840 is an apocalyptic number.

27107535840 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 27107535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56017059840).

27107535840 is an abundant number, since it is smaller than the sum of its proper divisors (84926583840).

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

27107535840 is a wasteful number, since it uses less digits than its factorization.

27107535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 27107535840 in words is "twenty-seven billion, one hundred seven million, five hundred thirty-five thousand, eight hundred forty".