27387009792 has 864 divisors, whose sum is σ = 96424473600. Its totient is φ = 7691894784.

The previous prime is 27387009791. The next prime is 27387009803. The reversal of 27387009792 is 29790078372.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27387009791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582702313 + ... + 582702359.

It is an arithmetic number, because the mean of its divisors is an integer number (111602400).

Almost surely, 2^27387009792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27387009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48212236800).

27387009792 is an abundant number, since it is smaller than the sum of its proper divisors (69037463808).

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

27387009792 is a wasteful number, since it uses less digits than its factorization.

27387009792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 27387009792 in words is "twenty-seven billion, three hundred eighty-seven million, nine thousand, seven hundred ninety-two".