27161225856000 has 2112 divisors, whose sum is σ = 111007119734784. Its totient is φ = 6593052672000.

The previous prime is 27161225855987. The next prime is 27161225856013. The reversal of 27161225856000 is 65852216172.

27161225856000 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 1 + 2 + 2 + 585 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27161225855987) and next prime (27161225856013).

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 191 ways as a sum of consecutive naturals, for example, 16391807172 + ... + 16391808828.

Almost surely, 2^{27161225856000} is an apocalyptic number.

27161225856000 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 27161225856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55503559867392).

27161225856000 is an abundant number, since it is smaller than the sum of its proper divisors (83845893878784).

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

27161225856000 is a wasteful number, since it uses less digits than its factorization.

27161225856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 27161225856000 in words is "twenty-seven trillion, one hundred sixty-one billion, two hundred twenty-five million, eight hundred fifty-six thousand".