27114001200 has 720 divisors, whose sum is σ = 114176025600. Its totient is φ = 5868288000.

The previous prime is 27114001183. The next prime is 27114001219. The reversal of 27114001200 is 210041172.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×27114001200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15957951 + ... + 15959649.

Almost surely, 2^27114001200 is an apocalyptic number.

27114001200 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 27114001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57088012800).

27114001200 is an abundant number, since it is smaller than the sum of its proper divisors (87062024400).

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

27114001200 is a wasteful number, since it uses less digits than its factorization.

27114001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 27114001200 its reverse (210041172), we get a palindrome (27324042372).

The spelling of 27114001200 in words is "twenty-seven billion, one hundred fourteen million, one thousand, two hundred".