27855454860 has 288 divisors, whose sum is σ = 89669099520. Its totient is φ = 6989299200.

The previous prime is 27855454841. The next prime is 27855454867. The reversal of 27855454860 is 6845455872.

27855454860 is a `hidden beast` number, since 2 + 7 + 8 + 554 + 5 + 4 + 86 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27855454797 and 27855454806.

It is not an unprimeable number, because it can be changed into a prime (27855454867) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38741581 + ... + 38742299.

It is an arithmetic number, because the mean of its divisors is an integer number (311351040).

Almost surely, 2^27855454860 is an apocalyptic number.

27855454860 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 27855454860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44834549760).

27855454860 is an abundant number, since it is smaller than the sum of its proper divisors (61813644660).

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

27855454860 is a wasteful number, since it uses less digits than its factorization.

27855454860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 27855454860 in words is "twenty-seven billion, eight hundred fifty-five million, four hundred fifty-four thousand, eight hundred sixty".