27987077606400 has 1584 divisors, whose sum is σ = 113729798014560. Its totient is φ = 6513544396800.

The previous prime is 27987077606363. The next prime is 27987077606413. The reversal of 27987077606400 is 460677078972.

27987077606400 is a `hidden beast` number, since 2 + 7 + 98 + 70 + 7 + 76 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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, 14185035814 + ... + 14185037786.

Almost surely, 2^{27987077606400} is an apocalyptic number.

27987077606400 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 27987077606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56864899007280).

27987077606400 is an abundant number, since it is smaller than the sum of its proper divisors (85742720408160).

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

27987077606400 is a wasteful number, since it uses less digits than its factorization.

27987077606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 27987077606400 in words is "twenty-seven trillion, nine hundred eighty-seven billion, seventy-seven million, six hundred six thousand, four hundred".