27987788640 has 576 divisors, whose sum is σ = 109057233600. Its totient is φ = 6004260864.

The previous prime is 27987788639. The next prime is 27987788693. The reversal of 27987788640 is 4688778972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25236406 + ... + 25237514.

It is an arithmetic number, because the mean of its divisors is an integer number (189335475).

Almost surely, 2^27987788640 is an apocalyptic number.

27987788640 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 27987788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54528616800).

27987788640 is an abundant number, since it is smaller than the sum of its proper divisors (81069444960).

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

27987788640 is a wasteful number, since it uses less digits than its factorization.

27987788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 66.

The spelling of 27987788640 in words is "twenty-seven billion, nine hundred eighty-seven million, seven hundred eighty-eight thousand, six hundred forty".