27655810560000 has 3640 divisors, whose sum is σ = 124179836357280. Its totient is φ = 6019743744000.

The previous prime is 27655810559963. The next prime is 27655810560013. The reversal of 27655810560000 is 6501855672.

27655810560000 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 5 + 81 + 0 + 560 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 378846719964 + ... + 378846720036.

Almost surely, 2^{27655810560000} is an apocalyptic number.

27655810560000 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 27655810560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62089918178640).

27655810560000 is an abundant number, since it is smaller than the sum of its proper divisors (96524025797280).

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

27655810560000 is an frugal number, since it uses more digits than its factorization.

27655810560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 27655810560000 in words is "twenty-seven trillion, six hundred fifty-five billion, eight hundred ten million, five hundred sixty thousand".