27861754680 has 320 divisors, whose sum is σ = 98053908480. Its totient is φ = 7087046400.

The previous prime is 27861754667. The next prime is 27861754691. The reversal of 27861754680 is 8645716872.

27861754680 is a `hidden beast` number, since 2 + 7 + 8 + 6 + 17 + 546 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7129287 + ... + 7133193.

It is an arithmetic number, because the mean of its divisors is an integer number (306418464).

Almost surely, 2^27861754680 is an apocalyptic number.

27861754680 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 27861754680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49026954240).

27861754680 is an abundant number, since it is smaller than the sum of its proper divisors (70192153800).

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

27861754680 is a wasteful number, since it uses less digits than its factorization.

27861754680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 27861754680 in words is "twenty-seven billion, eight hundred sixty-one million, seven hundred fifty-four thousand, six hundred eighty".