27151488000 has 1584 divisors, whose sum is σ = 125884506384. Its totient is φ = 5573836800.

The previous prime is 27151487999. The next prime is 27151488041. The reversal of 27151488000 is 88415172.

27151488000 is a `hidden beast` number, since 27 + 151 + 488 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7988069376 + 19163418624 = 89376^2 + 138432^2 .

It is a super-2 number, since 2×27151488000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 733823982 + ... + 733824018.

Almost surely, 2^27151488000 is an apocalyptic number.

27151488000 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 27151488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62942253192).

27151488000 is an abundant number, since it is smaller than the sum of its proper divisors (98733018384).

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

27151488000 is a wasteful number, since it uses less digits than its factorization.

27151488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 27151488000 in words is "twenty-seven billion, one hundred fifty-one million, four hundred eighty-eight thousand".