27462136000 has 112 divisors (see below), whose sum is σ = 73241794080. Its totient is φ = 10139827200.

The previous prime is 27462135989. The next prime is 27462136007. The reversal of 27462136000 is 63126472.

It is not an unprimeable number, because it can be changed into a prime (27462136007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28030 + ... + 236029.

It is an arithmetic number, because the mean of its divisors is an integer number (653944590).

Almost surely, 2^27462136000 is an apocalyptic number.

27462136000 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 27462136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36620897040).

27462136000 is an abundant number, since it is smaller than the sum of its proper divisors (45779658080).

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

27462136000 is a wasteful number, since it uses less digits than its factorization.

27462136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264099 (or 264079 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 27462136000 in words is "twenty-seven billion, four hundred sixty-two million, one hundred thirty-six thousand".