27406589988960 has 1536 divisors, whose sum is σ = 120992901120000. Its totient is φ = 5757327507456.

The previous prime is 27406589988937. The next prime is 27406589988979. The reversal of 27406589988960 is 6988998560472.

27406589988960 is a `hidden beast` number, since 27 + 4 + 0 + 6 + 589 + 9 + 8 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×27406589988960² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27406589988960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4603825344 + ... + 4603831296.

It is an arithmetic number, because the mean of its divisors is an integer number (78771420000).

Almost surely, 2^{27406589988960} is an apocalyptic number.

27406589988960 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 27406589988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60496450560000).

27406589988960 is an abundant number, since it is smaller than the sum of its proper divisors (93586311131040).

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

27406589988960 is a wasteful number, since it uses less digits than its factorization.

27406589988960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 27406589988960 in words is "twenty-seven trillion, four hundred six billion, five hundred eighty-nine million, nine hundred eighty-eight thousand, nine hundred sixty".