27987797859840 has 2520 divisors, whose sum is σ = 126803483586648. Its totient is φ = 5901857095680.

The previous prime is 27987797859823. The next prime is 27987797859869. The reversal of 27987797859840 is 4895879778972.

27987797859840 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 7 + 7 + 9 + 7 + 8 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 15454332535 + ... + 15454334345.

Almost surely, 2^{27987797859840} is an apocalyptic number.

27987797859840 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 27987797859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63401741793324).

27987797859840 is an abundant number, since it is smaller than the sum of its proper divisors (98815685726808).

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

27987797859840 is an equidigital number, since it uses as much as digits as its factorization.

27987797859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 35846737920, while the sum is 90.

The spelling of 27987797859840 in words is "twenty-seven trillion, nine hundred eighty-seven billion, seven hundred ninety-seven million, eight hundred fifty-nine thousand, eight hundred forty".