27685718403840 has 1440 divisors, whose sum is σ = 117331771898880. Its totient is φ = 6098947964928.

The previous prime is 27685718403773. The next prime is 27685718403877. The reversal of 27685718403840 is 4830481758672.

It is a happy number.

27685718403840 is a `hidden beast` number, since 2 + 7 + 6 + 85 + 71 + 8 + 403 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18668723739 + ... + 18668725221.

It is an arithmetic number, because the mean of its divisors is an integer number (81480397152).

Almost surely, 2^{27685718403840} is an apocalyptic number.

27685718403840 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 27685718403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58665885949440).

27685718403840 is an abundant number, since it is smaller than the sum of its proper divisors (89646053495040).

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

27685718403840 is a wasteful number, since it uses less digits than its factorization.

27685718403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 27685718403840 in words is "twenty-seven trillion, six hundred eighty-five billion, seven hundred eighteen million, four hundred three thousand, eight hundred forty".