27387997278720 has 640 divisors, whose sum is σ = 95344922534400. Its totient is φ = 6666563616768.

The previous prime is 27387997278637. The next prime is 27387997278737. The reversal of 27387997278720 is 2787279978372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6192174429 + ... + 6192178851.

It is an arithmetic number, because the mean of its divisors is an integer number (148976441460).

Almost surely, 2^{27387997278720} is an apocalyptic number.

27387997278720 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 27387997278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47672461267200).

27387997278720 is an abundant number, since it is smaller than the sum of its proper divisors (67956925255680).

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

27387997278720 is a wasteful number, since it uses less digits than its factorization.

27387997278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 2091059712, while the sum is 78.

The spelling of 27387997278720 in words is "twenty-seven trillion, three hundred eighty-seven billion, nine hundred ninety-seven million, two hundred seventy-eight thousand, seven hundred twenty".