27986333760 has 1792 divisors, whose sum is σ = 134833766400. Its totient is φ = 5291827200.

The previous prime is 27986333699. The next prime is 27986333831. The reversal of 27986333760 is 6733368972.

It is a super-2 number, since 2×27986333760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27986333697 and 27986333706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 474344611 + ... + 474344669.

Almost surely, 2^27986333760 is an apocalyptic number.

27986333760 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 27986333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67416883200).

27986333760 is an abundant number, since it is smaller than the sum of its proper divisors (106847432640).

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

27986333760 is a wasteful number, since it uses less digits than its factorization.

27986333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 27986333760 in words is "twenty-seven billion, nine hundred eighty-six million, three hundred thirty-three thousand, seven hundred sixty".