27987321145400 has 96 divisors (see below), whose sum is σ = 67941171174240. Its totient is φ = 10701648207360.

The previous prime is 27987321145397. The next prime is 27987321145451. The reversal of 27987321145400 is 454112378972.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5671862 + ... + 9388538.

It is an arithmetic number, because the mean of its divisors is an integer number (707720533065).

Almost surely, 2^{27987321145400} is an apocalyptic number.

27987321145400 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 27987321145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33970585587120).

27987321145400 is an abundant number, since it is smaller than the sum of its proper divisors (39953850028840).

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

27987321145400 is a wasteful number, since it uses less digits than its factorization.

27987321145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718353 (or 3718344 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 27987321145400 in words is "twenty-seven trillion, nine hundred eighty-seven billion, three hundred twenty-one million, one hundred forty-five thousand, four hundred".